A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it

Answers

Answer 1

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, [tex]\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}[/tex].

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

[tex]f(x)=2x+100[/tex]

This can be checked by using the values given in the problem:

[tex]f(30)=2(30)+120=180\\f(50)=2(50)+120=220[/tex]

The base rate of $120 and $2 per person satisfies the given equation and established values.


Related Questions

A pitcher of mocktail contains 8 cups of pineapple juice and 2 cups of orange juice. How many cups of orange juice will be required to make a mocktail with 12 cups of pineapple juice?​

Answers

Step-by-step explanation:

pineapple juice =8cups

orange juice =2cupspineapple juice =12

2x12=24

8×12=96

:. 96+24=120

moctail=120

.


Find the volume of a cone with a base diameter of 8 cm and a height of 6 cm.

Answers

The volume of a cone is equal to 13 times the area of the base πr2 π r 2 times the height h . Substitute the values of the radius r=6 and height h=8 into the formula to find the volume of the cone. Pi π is approximately equal to 3.14

I need help with this. (15 points)

Answers

9514 1404 393

Answer:

  min: $65

  per hour: $7.50

Step-by-step explanation:

The equation tells you Monica expects her pay to be $65 when she works 0 hours. That will be the minimum.

  y = 7.5·0 +65 = 65 . . . for 0 hours

It also tells you the pay is expected to go up by $7.50 if she works 1 hour. That will be her hourly rate.

  y = 7.5·1 +65 = 72.5 . . . for 1 hour; an increase of 7.50 over the minimum.

Minimum pay: $65

plus $7.50 per hour

Two numbers are missing from this table. How can the missing numbers be found?

Answers

The answer is b i hope this helps

20 points! Please help though-

Answers

Answer:

t = 7

Step-by-step explanation:

t( 5 /7 ) = 5

Hope it helped.

Answer:

7

Step-by-step explanation:

Well its worth 5 but its an easy question so its nothing really.

Well isolate the variable by performing inverse operations which in this case is diving 5 by 5/7 which is 7.

t=7

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation of the piecewise function represented in the graph to its corresponding piece of the domain.

Answers

Answer:

one is 3-x

two is 1

three is x

four is 5-x

hope it helps :)

Answer:

1: 3-x

2: 1

3: x

4: 5-x

Step-by-step explanation:

Hope this helped

THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU

Answers

Answer:

Step-by-step explanation:

6) diameter = 2 cm

Radius is half of diameter

r = 2 /2 = 1 cm

Area of circle = πr²      {Plugin r = 1 in the formula}

                      = π*1²

                      = π cm²

7) r = 7.4 cm

Area = πr²

        = π * 7.4*7.4

        = 54.76π cm²

WILL GIVE BRAINLIEST!

Four people are running for sheriff. A survey was randomly conducted in the countyand the results were recorded in the graphIf there are approximately 5,000 registered voters, how many more volers would be expected to vote for Ben than for Scott?

A.) 4
B.) 210
C.)500
D.) 400

Answers

Answer:

I'm not sure how to answer this.

Step-by-step explanation:

Is this the full question? The context seems to be missing something. Who are Ben and Scott and who are the other 2 candidates?

Maybe post another question and rephrase it.

B
Depending on ur question
It isn’t clear tho

guys help this makes no sense you will get lots of points for a real answer

Answers

1: d
2: a
3: d
4: b
5: irrational
6:c
7: c
8: a
9: d

I believe that is the right answer

About how much cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long?
382 cm
339 cm?
679 cm
371 cm

Answers

Step-by-step explanation:

Cardboard needed to make tube =

Circumference of Circle base (remember the base is hollow therefore there is no area needed.) x Length of Tube

given r = 2.25cm

L = 24cm

Cardboard needed =

[tex]2\pi \: rl = \\ 2\pi(2.25)(24) \\ = 2\pi(54) \\ = 108\pi {cm}^{2} \\ = 339 {cm}^{2} [/tex]

The cardboard is needed to make the inner tube for a roll of paper if the tube has a radius of 2.25 cm and is 24 cm long will be 339 cm². Option B is correct.

What is surface area ?

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

The cardboard is needed to make the inner tube for a roll of paper is found as;

Surface area of cardboard;

A=2πRL

A=2×3.14×(2.25)(24)

A=339 cm².

Hence,the cardboard is needed to make the inner tube for a roll of paper will be, 339 cm².

To learn more about the surface area, refer to the link;

brainly.com/question/2835293

#SPJ2

a triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 2:11. what are the measures of those two angles?

Answers

Answer:

2+11=13

180-50=130

130÷13=10

2×10=20

11×10=110

2=20°

11=110°

WILL MAKE BRAINLIEST

write the slope intercept form of the equation of each line

Answers

Answer:

15. C

16. A

Step-by-step explanation:

Good luck brotha!

Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number of pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.

p+g=2.5

1.58p+1.09g=3.46

Answers

Answer:

Answer: 2.5

Step-by-step explanation:

Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number

pounds of peaches, p, and the number of pounds of grapefruit, g, that he buys.

p + g= 2.51.58p + 1. 09g = 3. 46

What is the total number of pounds of peaches and grapefruit that Juan buys?

Simplify the variable expression below as much as possible.
(4.5)x+ 3x + 2

Answers

Answer:

23x +2

Step-by-step explanation:

20x + 3x + 2 = 23x + 2, also close ur curtains ouch

Based on the information given, the value of the expression is 23x + 2.

From the information given, the expression that was given is (4.5)x+ 3x + 2. This simply means that one has to multiply the values in the bracket first and solve it. This will be:

= (4 × 5)x + 3x + 2

= 20x + 3x + 2

= 23x + 2

Learn more about equations on:

https://brainly.com/question/13802812

For the following right triangle, find the side length x, Round your answer to the nearest hundredth.
12
x
16

Answers

Answer:

10.6. (3s.f.)

Step-by-step explanation:

You can search it on googlr

There are 6 softball teams. There are a total of 48 children on all the teams. There are an equal number of children on each team.
Choose the number sentence which represents the number of children on each team.

Answers

Answer:

I divide 48/6=8 that is the only one that make sense for me becuase 6x8=48

Step-by-step explanation:

5/6 plus blank equals to 5/2

Answers

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

let blank be O

[tex]\frac{5}{6} +O=\frac{5}{2} \\[/tex]

[tex]O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}[/tex]

Solve for P.

S=A+1/2PL

Answers

9514 1404 393

Answer:

  (b)  P = 2(S -A) ÷ L

Step-by-step explanation:

Undo what is done to P.

  [tex]S=A+\dfrac{1}{2}PL\qquad\text{given}\\\\S-A = \dfrac{1}{2}PL\qquad\text{subtract $A$}\\\\\dfrac{2}{L}(S-A)=P \qquad\text{multiply by $\dfrac{2}{L}$}\\\\\boxed{P=\dfrac{2(S-A)}{L}}[/tex]

Part A
What are the possible outcomes of rolling a six-sided die?

Answers

Answer:

the possible outcomes are :

one (1)two (2)three (3)four (4)five (5)six (6)

I need to know how to solve for this.

Answers

9514 1404 393

Answer:

  use the rules of exponents

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

__

Applying these to the left-side expression, we can simplify it so it looks like the right side expression.

  [tex]\dfrac{(12x^5)(2x^7)}{(2x^2)^3}=\dfrac{12\cdot2x^{5+7}}{2^3x^{2\cdot3}}=\dfrac{24x^{12}}{8x^6}\\\\=3x^{12-6}=\boxed{3x^6}[/tex]

How do I solve this?​

Answers

9514 1404 393

Answer:

  b=-9

  intersection point (3, -3)

Step-by-step explanation:

There are a couple of ways to do this. The method that does not involve calculus is to set the two equations equal and find 'b' such that there is exactly one solution.

  x^2 -4x = y = 2x +b

In standard form, this is ...

  x^2 -6x -b = 0 . . . . . . . we call this the "combined quadratic"

This will have one solution when the discriminant is zero. You may recall that the discriminant of quadratic ax^2 +bx +c is d = (b^2-4ac). We want ...

  d = (-6)^2 -4(1)(-b) = 0

  36 +4b = 0 . . . . . simplify

  b = -36/4 = -9 . . . solve for b

Then the linear equation is ...

  y = 2x -9

__

If the discriminant is zero, the solution to the "combined quadratic" is ...

  x = -b/(2a) . . . . . . . . with a, b, c from the quadratic form (not y-intercept)

  x = -(-6)/(2(1)) = 3

And the point of intersection of the line and the parabola is ...

  y = 2(3) -9 = -3   ⇒   (x, y) = (3, -3)

__

The graph is attached.

The graph for the function f(x) is shown. Which of the following ordered pairs are a
solution to the function?

A) (-1,0)
B) (0,-5)
C) (-8,1)
D) (5,0)
E) (3,-8)

Answers

Is this Calvert learning

Which key features of the graph of two parallel lines are the same and which as different?

Answers

The two lines in the graph below are parallel lines: they will never intersect. Notice that they have exactly the same steepness which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.

Sin(2/3+3/5) help please

Answers

Answer:

Answer ≈ 0.022

Step-by-step explanation:

For these types of questions with sin cos or tan, you will need to use a calculator. There is no other way as far as I have seen on the internet to solve this type of problem. Anyways, what you have to do is take your calculator and put in:

sin

sin(2/3+3/5)  exactly like that

and the calculator will give this to you:

0.022105703 which you can then round up.

I hope this answer helped you out. If it did I would greatly appreciate it if you could check out my channel The Game Rater(or Nitro Studios the name might change). I would really appreciate that. Thanks.

-Nitroid444

Amber coaches soccer and volleyball. She coaches both sports for a total of 10 hours each day. The soccer practice lasts 1 hour more than twice as long as the volleyball practice. Part A: Write a system of equations to model the situation. Use v for the number of hours Amber coaches volleyball in a day and s for the number of hours she coaches soccer. ( Part B: How many hours each day does Amber spend coaching each sport? Show your work. ( Will Mark Brainliest. Only answer if your 100% sure. This is very important). ​

Answers

Step-by-step explanation:

part a:  Total is 10 hours

soccer: 2v + 1

volleyball: v

part b: 10 = 2v + 1

           -2v = -10 +1

            -2v = -9

            v = -9 ÷ -2

            v = 4.5

volleyball is 4.5 hours

if soccer is one hour longer than volleyball then soccer is 5.5 hours

4.5 + 5.5 is a total of 10 hours :)

If 20 out of 25 students in a P.E. class are boys, what percent of the class is made up of boys?

Answers

80% !
hope this helps

1 . What is the distance between the two points.
(0,5 1,3), (-0,4, -1,3) ?

2. What is the distance between the two points
(6, -3), (2, -4)

Answers

Only could find one sorryyyy
2. Is 4.1231

The diameter of the pizza is 16 inches therefore the area of the pizza is what rounded to the nearest whole number

Answers

Answer:

201

Step-by-step explanation:

pi times r^2

r=8

8^2 times pi

=201

Answer:201

Step-by-step explanation:

The RxR R=radius equals 64x3.14 = 200.96 rounded to the nearest whole number is 201

If the sum of six consecutive odd integers is 480, what is the smallest of the six integers

Answers

Answer:

90

Step-by-step explanation:

Answer:

191

Step-by-step explanation:

Input
Output
What is the do
mapping?
-3
4
O {x|x= -
O {yly=-
O {x|x=-
O {yly=
2.
ONY
2
6.

Answers

Answer:

and disgusting and annoying things to do it

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