Writing a Linear Function to Model a Scenario Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

Answers

Answer 1

Answer: y= 25+2.5x

Step-by-step explanation:

Let a = base pay , b = additional amount per newspaper.

Given: Last week, Pedro delivered 5 newspapers and earned $37.50.

i.e. 37.50=a+5b      (i)

This week, he delivered 20 newspapers and earned $75.

i.e. 75=a+20b         (ii)

Eliminate (i) from (ii)

37.50=15b

[tex]\Rightarrow\ b=\dfrac{37.50}{15}\\\\\Rightarrow\ b=2.5[/tex], i.e. additional amount per newspaper= $2.5

Put b= 2.5 in (i)

[tex]37.50=a+5(2.5)\\\\\Rightarrow\ 37.50=a+12.5\\\\\Rightarrow\ a=37.50-12.5\\\\\Rightarrow\ a=25[/tex], i.e. base pay = $20

Let x= Number of newspapers Pedro delivers.

y=  Earnings he receives in dollars.

y= 25+2.5x will be the required function.


Related Questions

t to the power of 2 subtracted by 12w divided by x

Answers

Answer:

t squared-12w

-------------------

       x

Step-by-step explanation:

what is the answer to 10x=-19

Answers

Answer:

- 1.9

Step-by-step explanation:

X= - 19/10

= - 1.9

....

If 50% of 240 is 120, what is 75% of 240?

Answers

Answer:

180

Step-by-step explanation:

240*75%=240*0.75=240*(3/4)=240/4*3=60*3=180

Answer:

180

Step-by-step explanation:

there are two ways to do this but the easiest way is just to divide 120 by 2 then add it to 120 so

120 + 60 = 180

give brainliest please :)

................................

Answers

Answer:

amazing

Step-by-step explanation:

ily

hi, can someone please help me with this I think it 6 to the 2nd power but I think I am wrong. will give brainliest.​

Answers

Your right good job

draw circuit diagram to show that copper is a good conductor of electricity.
please answer quickly..

Answers

Answer:

HERE YOU GO have a nice day

help! easy question will give brainliest!

Answers

Answer:

C,C,C,C

Step-by-step explanation:

Someone please help
What is 3.5=12s-55?

Answers

Answer: was that not the answer

Step-by-step explanation:

What’s the answer to this question ?

Answers

Answer:

∠ C = 44°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

4x - 16 +6x - 1 + 4x - 13 = 180°

14x - 30 = 180 ( add 30 to both sides )

14x = 210 ( divide both sides by 14 )

x = 15

Thus

∠ C = 4x - 16 = 4(15) - 16 = 60 - 16 = 44°

You estimate that your school is about 49 ft tall. Your school is actually 58 ft tall. Find the percent error in your estimation.
The percent error is
%. (Round to the nearest percent as needed.)

Answers

Answer:

16%

Step-by-step explanation:

[tex]\frac{|49-58|}{58}*100=15.5=16[/tex]

Answer:

Step-by-step explanation:

.155 would be the decimal. 58-49 is 9. 9/58 to find the decimal of .155. then multiply by 100 to get 15.5% or 16%

Convert 45°C to Fahrenheit.
_____ °F

Answers

Answer:

113F

Step-by-step explanation:

......................

Answer:

113F

Step-by-step explanation:

Find the mode of these temperatures:
a) 15°, 26°, 34°, 189, 15°
b) 78°, 62°, 85°, 57°, 68°
c) 80°, 68°, 75°, 80°, 78°

Answers

Answer:

The mode is no mode for the first and second but the third is 80

I am confused as to why there wasn't more than one of the same number for this problem

Remember that mode is the one that appears the most!

Step-by-step explanation:

A song that I learned in 4th grade by my teacher kinda helps with this lol:

Range is the maximum minus the minimum

The mode is the one that appears the most

The median is the one in the middle

Now you know about Data!

Just try and say that over and over or write it down somewhere lol

I hope this helps

plz mark B R A I N L I E S T

Answer:

a) 15°

b) No mode

c) 80°

Step-by-step explanation:

Mode:

The value/quantity that occurs most often is the mode of the data set.

Part a)

15°  (Occurs 2 times)

Part b)

No mode (Each value occurs equally i.e. 1 time)

Part c)

80° (Occurs 2 times)

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

pleas help please !!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:the first one is 6 and the seconndone is 4.5  

Step-by-step explanation:

x- gose forward 2

y- gose 2.5

Bottle contains 64 fluid ounces of syrup. Each day, you use 3 1/5 fluid ounces of syrup from the bottle. Is there enough syrup in the bottle for 25 days?

Answers

Given:

Total syrup = 64 fluid ounces

Syrup used each day = [tex]3\dfrac{1}{5}[/tex] fluid ounces

To find:

Whether there is enough syrup in the bottle for 25 days or not.

Solution:

According to the question,

Requirement of syrup for 1 day [tex]=3\dfrac{1}{5}[/tex] fluid ounces

                                                   [tex]=\dfrac{3\times 5+1}{5}[/tex] fluid ounces

                                                   [tex]=\dfrac{16}{5}[/tex] fluid ounces

Requirement of syrup for 25 day [tex]=25\times \dfrac{16}{5}[/tex] fluid ounces

                                                       [tex]=\dfrac{400}{5}[/tex] fluid ounces

                                                       [tex]=80[/tex] fluid ounces

Syrup required for 25 days is 80 fluid ounces which is greater than 64 fluid ounces.

Therefore,  64 fluid ounces of syrup is not enough for 25 days.

can someone help with this​

Answers

Answer:

Your answer would be A!!!

Step-by-step explanation:

Hope this helped!!!

PLEASE HELP!!! ill give you brainliest

Answers

Answer:43 teaches

Step-by-step explanation:I research it

Isabella ordered a set of red and green pins. She received 50 pins, and 70% of them were red. How many red pins did Isabella receive?

Answers

Answer: 35

Step-by-step explanation: 70% of 50 is 35

Find the x-intercept for x+8y=-9

Answers

Answer:

-9

Step-by-step explanation:

To find the x-intercept, we have to substitute 0 as y.

x + 8(0) = -9

x = -9

There ya go!

Answer:

x = - 9

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x, that is

x + 8(0) = - 9, that is

x = - 9 ← x- intercept or in coordinate form (0, - 9 )

Please help!!!! BRAINLIEST to correct and BEST answer!!!

Answers

step two is wrong because they divided -20 by -4 for no reason

Need help! Urgent!

Really need to get this done, I’ll prob post some more after this one.

Answers

Answer:

its 42 degrees because all triangles are 180 degrees

44.197 rounded to the nearest whole number

Answers

Answer:

44

Round down to 44

Answer:

44

Step-by-step explanation:

1 is after 44, so it rounds down

Julie had $10.00 in her savings account when she earned $23.50 doing errands for her next-door neighbor. Julie used her savings and her earnings to buy a new pair of shoes that cost her $27.75. How much did she have left in her account after she bought her shoes?

Answers

Answer:

$5.75

Step-by-step explanation:

Step one:

given data

initial balance= $10

she earned extra $23.50 doing errands

hence her balance will be

=10+23.5

=$33.5

Step two:

Required is her balance

we are told that she bought shoes for  $27.75

hence her balance will be

=33.5-27.75

=$5.75

If there are 96 grams of fat in 16 oz of ground beef, how much fat is in 3 oz of ground beef?

Answers

Answer: 18 grams of fat

Step-by-step explanation:

find how many grams per ounce; 96/16=6

6 grams per ounce

3x6= 18

-24°
(2x + 18)
(3x + 6)
The measure of the exterior angle of the triangle is

Answers

The exterior angle is 114

The exterior angle of a triangle is congruent to the sum of the opposite interior angles

The measure of the exterior angle of the triangle  is 114 degrees

From the figure,

The interior angles are 24 and 2x + 18. The exterior angle is 3x + 6.

So, the interior and exterior angles have the following relationship

[tex]\mathbf{3x + 6 = 2x + 18 + 24}[/tex]

Collect like terms

[tex]\mathbf{3x - 2x = -6 + 18 + 24}[/tex]

[tex]\mathbf{x = 36}[/tex]

The exterior angle is given as:

[tex]\mathbf{\theta = 3x + 6}[/tex]

Substitute 36 for x

[tex]\mathbf{\theta = 3 \times 36 + 6}[/tex]

[tex]\mathbf{\theta = 114}[/tex]

Hence, the exterior angle is 114 degrees

Read more about exterior angles at:

https://brainly.com/question/17972372

Question 4(Multiple Choice Worth 5 points) (01.04 LC)Multiply (-1/6) (-1/5)​

Answers

Answer:

1/30 in fraction form.

0.033333333....

Step-by-step explanation:

The sum of two integers is 31. The larger of the two integers is
4 more than 2 times the smaller integer. What are the integers?​

Answers

Answer:

The larger is 22, the smaller is 9.

Step-by-step explanation:

We need to make the two equations for this which would be:

x+y=31

x=2y+4

we can put the second equation into the first

(2y+4)+y=31

3y+4=31

subtract 4 from each side

3y=27

divide each side by 3

y=9

put this y into our second equation

x=2(9)+4

x=18+4

x=22

The length of a rectangle measures 3b + 1 and the width measures b - 3. What is the area of this rectangle?


Will give the brainliest

Answers

b^2 - 8/3b - 1

hope you understand

How do I solve this equation?

Answers

Answer:

so you need to find x

Step-by-step explanation:

the little fraction beside the equation in parenthesis is what you are multiplying by, and 25 is what is equals , so x-7 times 2/3 or 0.67 = 25  we then divide 25 by 0.67 then plus 7 and the answer is 44.31

Answer:

Step-by-step explanation:

What is the awnser to that question

Answers

Answer:

its A

Step-by-step explanation:

I’m pretty sure it would be A
Can I plz have brain list

G is the incenter, or point of concurrency, of the angle bisectors of ΔACE. Triangle A C E has point G as its incenter. Lines are drawn from the point of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Which statements must be true regarding the diagram? BG ≅ AG DG ≅ FG DG ≅ BG GE bisects ∠DEF GA bisects ∠BAF

Answers

Answer:

its B 7

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

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