contestada

A rental car company charges a base fee of $40 plus $0.25 per mile for the first 100 miles the car is driven. The company charges the same base fee plus a reduced price of $0.18 per mile for cars driven over 100 miles. The piecewise function below represents the different amounts the company charges.

If someone drives their rental car 150 miles, how much will they owe the rental company?
$37.50
$77.50
$67.00
$27.00

Respuesta :

Answer:

C

Step-by-step explanation:

facundo3141592

By using a piece-wise function that models the cost as a function of the number of miles driven, we will see that the cost for 150 miles is $67.00

How much is the cost for 150 miles?

We know that there is a base fee of $40 plus $0.25 for the first 100 miles, and for each mile, after the 100 the cost is $0.18.

Then we have the piece-wise function:

c(x) = $40 + $0.25*x   0 ≤ x ≤ 100

c'(x) = $40+ $0.18*x   100 ≤ x

If x = 150, we need to use the second part, this will give:

c(150) = $40 + $0.18*150 = $67.00

So the cost is $67.00

         

If you want to learn more about piece-wise functions, you can read:

https://brainly.com/question/3628123

Otras preguntas