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A rental car company charges a daily rate and a cleaning fee when renting a car. Mr. Jacobs rented a car for 7 days and paid $239. Ms. Hoy rented a car for 10 days and paid $335.

Complete the statements to construct and interpret a function that represents this situation.

The function that represents this situation is y =
x +
.

For a car, the daily rate is $
, and the cleaning fee is $
.

Respuesta :

This can be represented by the function y = 32x + 15

Therefore the daily rate is $32 while the cleaning fee is $15.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the total amount of money paid after x days.

Mr. Jacobs rented a car for 7 days and paid $239, hence:

239 = 7m + b   (1)

Ms. Hoy rented a car for 10 days and paid $335, hence:

335 = 10m + b    (2)

Solving equation 1 and 2 simultaneously gives:

m = 32, b = 15

This can be represented by the function y = 32x + 15

Therefore the daily rate is $32 while the cleaning fee is $15.

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