The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=46

Question

1 year ago

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The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=46

+0.25x, where x is the number of miles traveled.
a. What is your cost if you travel 57 miles?

The cost is $ ____________.

b. If your cost was $65.00, how many miles were you charged for traveling?

You were charged for traveling ____________ miles.

c. Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

The maximum number of miles you could travel is ____________ miles.

Mathematics

2 answers:

chubhunter [2.5K] · Answer 1 · 2023-08-26T22:00:35+03:00

Answer:

A. $60.25

B. 76 miles

C. 216 miles

Step-by-step explanation:

x is miles

y is total amount spent

For A, 57 miles is the x value. Plug that in to x.

y= 46 + .25(57)

y= 60.25

For B, the total is the y. So plug 65 in for y.

65 = 46 + .25x Subtract 46 from both sides

19 = .25x Divide by .25

76 = x

For C, the maximum you can spend is $100. Plug that in for y.

100 = 46 + .25x Subtract 46 from both sides

54 = .25x Divide by .25

216 = x

julsineya [31] · Answer 2 · 2023-08-26T19:37:26+03:00

The answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation to represent the cost would be y=46+0.25x

x is the number of miles.

a) What is your cost if you travel 57 miles?

Plug x = 57 in the above equation:

y = 46 + 0.25(57)

y = $60.25

b) If your cost was $65.00, how many miles were you charged for traveling?

Plug y = 65 in the equation:

65 = 46 + 0.25x

x = 76 miles

c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

Plug y = 100 in the equation: