An executive for the movie production company wants to create a function that models this data. . Create a function that can be used to model the data shown in the table . Be sure to define the variables and provide justification for your choice of function . Discuss any possible domain restrictions which should be placed on your model . Use your model to estimate the box office gross the company should expect in week 10 .

Answers

Answer 1

Functions can be modeled by equations, tables and graphs

The equation that models the function is [tex]y = \frac 14x +1[/tex]The domain of the function is the set of whole numbersThe company should expect 4 box office gross in week 10

How to determine the function

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

Substitute known values

[tex]m = \frac{2 - 1}{4 - 0}[/tex]

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

[tex]y = m(x -x_1) +y_1[/tex]

This gives

[tex]y = \frac 14(x -0) +1[/tex]

[tex]y = \frac 14x +1[/tex]

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

[tex]y = \frac 14 * 10 +1[/tex]

[tex]y = 3.5[/tex]

Approximate

[tex]y = 4[/tex]

Hence, the company should expect 4 box office gross in week 10

Read more about linear functions at:

https://brainly.com/question/15602982


Related Questions

Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4. 5x2 18x − 2 5x2 13x 2 5x2 − 18x − 8 5x2 13x 8.

Answers

Answer:

d

Step-by-step explanation:

d

Describe where you might see a ratio of 2:1 at an animal sanctuary.

Answers

Answer:

there are 2 swans to 1 monkey

Step-by-step explanation:

7)
The table shows the median home prices in the United States, from 2007 to 2009
Year
Median Home
Price ($)
234,300
2007
2008
213,200
2009
212,200
What is the domain and range for this data?
Answer:
The domain range for this data is

Answers

Answer:

22,100 for range

Step-by-step explanation:

To find range you subtract the lowest number from the highest number

i need help on this question ​

Answers

Answer:

The answer is B.

w + m > 224.

11w + 15m ≤ 2,876

Step-by-step explanation:

w + m > 224. There were more than (>) 224 who donated.

11w + 15m ≤ 2,876 No more than (≤) $2,876 was donated.

Hope that helps!

help..............................

Answers

Answer:

b,d

Step-by-step explanation:

this looks like a kite

diagonals bisect. so d is true.

ab and dc are parallel

so b is also true

Ok i want the answer if someonr knows it please help me

Answers

[tex]\huge \text{Hello there! :)}[/tex]

I'm Joyous to help you today!

Answer:

[tex]3h=54[/tex]

Step-by-step explanation:

To get the product between 3 and Han's score (h), we multiply them:

[tex]3~x~h~--> 3h[/tex]

And since we know that this product is equal to 54, we'll have that the equation that corresponds to the situation is:

[tex]3h=54[/tex]

Hope this Helps!

Thanks for choosing Brainly!

There are 33
small cubes in the cube below.
Write an expression for the number of small
cubes in the large cube at the right.

Answers

Answer:

729 small cubes

Step-by-step explanation:

The small cube has side of 3 units and its volume is:

V = s³ = 3³

The large cube is 3 times larger on each side, so its volume is:

V = (3*3)³ = 9³ = 729 unit cubes

Pls help!

A farmer owns a total of 19 ducks and horses.
The ducks and horses have 64 legs altogether.
How many horses are there?

Answers

Answer:

6 ducks and 13 horses

Step-by-step explanation:

Let H and D be the numbers of Horses and Ducks, respectively.

We are told that:

H + D = 19

Our biology book confirms that:

1 horse = 4 legs, and

1 duck = 2 legs

[In most cases on Earth]

So we can say that:

4H + 2D = 64 legs

Rewrite

H + D = 19 as:   H = 19 - D

and then substitute:

4H +2D = 64 legs

4(19-D) +2D = 64 legs

76 - 4D + 2D = 64 legs

-2D = - 12

D = 6  [We have 6 ducks]

Then:

H + D = 19

H + 6 = 19

H = 13  [There are 13 horses]

=============================

Check:

Do 6 ducks and 13 horses have a total of 64 legs?

6*2 + 4*13 = 64?

12 + 52 = 64?

YES

Gabriel owns a small business selling used books. He knows that in the last week 89 customers paid cash, 20 customers used a debit card, and 30 customers used a credit card.

Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.

Answers

Answer:

.22 chance next customer pays with credit card

Step-by-step explanation:

This is because there was in all 139 customers during that week, and 30/ 139 0.21582733812. This rounded to hundredth would be .22

what is his average speed for end the entire trip 280 miles
?

Answers

Answer:

20mph

Step-by-step explanation:

because when you divide the 280 it goes by 20 mph to get to 280 miles by quarters but in 20s

−21 = −0.6k this is for my math homework pls help

Answers

Step-by-step explanation:

-21=0.6k

divide both side by0.6=

-21\0.6=35

Hi!

I can help you with joy!

The first step in solving this equation is dividing both sides by -0.6:

-21:(-0.6)=-0.6k:(-0.6k)

35=k

k=35 (Answer)

_______________

Additional comment

* Whatever we do to one side, we do to the other.

** A negative number divided by a negative number is a positive.

______________

Hope it helps! Enjoy your day!

Ask me if you have any questions.

~Misty~

HELPPP
i need answers asappppp

Answers

Answer:

The expressions are equivalent

Step-by-step explanation:

We can start by simplifying the first expression:

1.25x+4+0.75x-3

Move like terms so that they are together:

1.25x+0.75x+4-3

Now, combine like terms:

2x+1

The expressions are equivalent

a dress store is having a sale where all merch is 1/4 off a women buys 48$ of merch at the sale price. what would she have to pay at the regular price?

Answers

Answer:

$64

Step-by-step explanation:

1/4 means 25%

$48 means 75%

$48 divided by 3 equals 16

$48 plus 16 equals $64

what is:
2 = -8 + 2u
If possible please answer as soon as possible

Answers

2+8=2u
10=2u
Divide by 2
5=u
You add the -8to the 2, since it’s negative and you’re moving it over it will be positive. After getting 10=2u, you will divide the 2, making u=5

Discussion
1. In the voice of your selected historical figure, make a preliminary argument for
your position.
2. In the voice of your selected historical figure, respond to a point made by
another student.
3. In your own voice, briefly describe something you learned because you had to
imagine yourself in another person's position.

Answers

Role plays are a strategy to understand the points of view of other people according to their thinking or the context in which they live.

How to make an argument?

An argument is a statement that is characterized by being very well supported by verifiable facts. When we want to defend our position, we must argue it through statements that validate our point of view.

According to the above, if we make a role play selecting to personify a historical character and defend his point of view on a specific topic, we must take into account:

Her/His thoughts and ideologies.Her/His context.

These role plays are very important to learn more about the life of a historical figure or other person, because they make us aware of their way of thinking and how they have been influenced by different factors throughout their lives.

Learn more about point of view in: https://brainly.com/question/14834722

Answer:

1. The work place is a place for work, not for drinking and messing around. Please drink all you want on your own time or just accept the punishment.

2. I agree with ___ that alcohol is not tolerable and it isn't good for your work

3. I learned the owners sometimes have to make unpopular decisions for the good of their business and employees.

Subtract 5x^2-8x-1 from
-(5x^2 -x - 8).

Answers

Answer:

-10x² - 7x + 7

Step-by-step explanation:

Subtract:

-5x² - 8x - 1 - (5x² - x - 8)-5x² - 5x² - 8x + x - 1 + 8-10x² - 7x + 7

Remember: subtracting a negative number is adding that number

-Chetan K

Answer:

2

x

2

+

6

x

+

4

Explanation:

(

3

x

2

+

8

x

7

)

(

5

x

2

+

2

x

11

)

(

3

x

2

5

x

2

)

+

(

8

x

2

x

)

+

(

7

+

11

)

2

x

2

+

6

x

+

4

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Or if you prefer:

...

.

.

3

x

2

+

8

x

7

...

.

.

5

x

2

+

2

x

11

−−−−−−−−−−−−

Subtract

.

2

x

2

+

6

x

+

4

Step-by-step explanation:

have a good day

First answer gets brainliest. And one hundo points

Answers

Answer:

option C.

Step-by-step explanation:

option C is the correct answer.

Direct variation: y = kx .........where k is constant.

10 = k * -5

k = -2

Then check if all are linear and matches.

y = -2 * -4

y = 8 ...matches.

then

y = -2 * -3

y = 6 ........matches

then

y = -2 * -2

y = 4 ........matches

then

y = -2*-1

y = 2 ......matches as well. so direct variation.

The parent function, f(x) = 5^x, has been vertically compressed by a factor of one-half, shifted to the left three units and down two unlts.

Choose the correct function to represent the transformation.

Answers

Answer: Choice C

[tex]\displaystyle g(x) = \left(\frac{1}{2}\right)5^{x+3}-2[/tex]

=====================================================

Explanation:

The 1/2 out front handles the vertical compression by 1/2. For example, if two points are vertically spaced by 10 units, then their new vertical distance is now (1/2)*10 = 5 units.

The x+3 in the exponent means "shift 3 units to the left". Effectively what's going on is that the old input x is now x+3, ie 3 units larger than before. This shifts the xy axis itself 3 units to the right. If we held the curve fixed in place while the xy axis moved like this, then it gives the illusion the curve is moving 3 units to the left.

Then finally the -2 at the very end shifts the curve down 2 units. This is because whatever the y coordinate is, we subtract 2 from it to do this vertical shifting. For example, the point (0,62.5) shifts 2 units down to (0,60.5)

the length of the pool is 5 meters more than it’s width. The area is 24 square root. What is the length of the pool?

Answers

The length of the pool is 8 meters. The width of the pool is 3 meters.

help with either of these questions pleaseee at least one of them I’m so confused rn I’d really appreciate it and will brainlist you dw

Answers

1. a. 35 = 3J - 1
b. n = A + 2

2. a. P = 250 + 10n
b. P = 250 + 10(20) = $450

Step-by-step explanation:

a) Fred → 35 years old

James → J years old

(3 × J) - 1 = 35

3J - 1 = 35

b) the number of people (n) Anita can invite depends on her age (A) and you add (+) 2.

therefore, n= A +2

2.a) n represents the no of phones he sells.

so if he charges $10 for a phone, then

n × 10 will represent the amount of money he makes for the no of phones he sells. you are given that P represents the amount of money he makes from selling a phone which is 10N and also his weekly salary, $ 250. this is the amount of money he receives for the whole week.

Hence, 10n + 250 = P

ans: P= 10n + 250

b) the next week he sells 20 phones. he charges $10 per phone. then he will make $200 from selling the phones. but he will also receive his weekly salary, which is $250. total money he receives equals $450.

a better way to reach the answer is using the above equation:

P = 10n + 250, where n= 20

P= (10*20) + 250

P= $450

hope you understand this now,

s.

If she arrives home without her iClicker device and she is sure she has the iClicker device after leaving the first class, what is the probability (to at least 3 significant figures) that she left it in the 5th class

Answers

Answer:

its simple the answer 15

Step-by-step explanation:

multiply 3x5=15 boom

Put the following equation of a line into slope-intercept form, simplifying all fractions.
8x+6y=
8x+6y=
\,\,18
18

Answers

Answer:

do u have a full screenshot of it???

Step-by-step explanation:

Cara bought a 3 pound block of clay, and then made 4 equally sized statues with it. How many ounces is one of Cara’s statues? (1 lb = 16 oz)

Answers

Answer:

each of the four blocks weighs 12 ounces

Step-by-step explanation:

3 lbs = 3(16) or 48 ounces

48/4 = 12

each of the four blocks weighs 12 ounces

What is a fraction that is equivalent to 2/5 and the numerator is 18 less than the denominator

Answers

Answer:

Let the denominator be x

x-18/x=2/5

5(x-18)=2x

5x-90=2x

3x=90

x=30

The fraction is 12/30

Hope it helps you!

Step-by-step explanation:

Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest form. an=-2 an = an-1 -13 an=​

Answers

From the recursive rule

[tex]a_n = a_{n-1}-13[/tex]

it follows that

[tex]a_{n-1}=a_{n-2}-13 \implies a_n = a_{n-2} - 2\times13[/tex]

[tex]a_{n-2}=a_{n-3}-13 \implies a_n = a_{n-3} - 3\times13[/tex]

and so on. Notice how the subscript on a on the right side and the coefficient multiplied by 13 add up to n (n - 2 + 2 = n; n - 3 + 3 = n; and so on). If we continue the pattern, we'll end up with

[tex]a_n = a_1 + (n-1)\times13[/tex]

so that the explicit rule for the n-th term in the sequence is

[tex]a_n = -2 + 13(n-1) \implies a_n = \boxed{13n-15}[/tex]

What is the domain of the function graphed below?

Answers

Answer:

The domain is the set of x values for which the function resides in.

In this graph, it is unclear as to if the function goes on to infinity, but if it does, the answer is quite easily:

(-2, 4] and [7, ∞)

since the function starts on the left at -2 then continues to the right, with a pause, then indefinitely after.

Mrs. Jackson’s class has 18 boys and 12 girls. 30% of her students take the bus to and from school? How many of her students do NOT take the bus?

Answers

Hopefully makes sense, if you have any questions pls ask

What is the value of x in the proportion? 4/11 = -3/x+5
A. X = 13 1/4
B. X = -9 1/2
C. X = -7
D. X = -3 1/4
PLEASE ANSWER

Answers

Answer:

All the provided answers are incorrect

Step-by-step explanation:

Cross multiply and get

4(x + 5) = (-3)*11

4x + 20 = -33

4x = -33 - 20 = -53

x = -53/4 = -13 1/4

It’s -13 1/4

Step-by-step explanation:

Evaluate the function

Answers

Answer:

f = 9.25 (I think but maybe I read f(4) wrong)

Step-by-step explanation:

so f(4) means x = 4.

The new equation is

f(4) = 2x4 ^2 - 4 + 9
you first do 2x4^2. The minus 4. The add 9.
the answer to that is 4f = 37

Then solve

F = 9.25

Which value of x makes the equation x plus 3 equals 8 true?

Answers

Answer: x = 5

Step-by-step explanation:

Replace x with 5: 5+3=8

This is true!

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