Question

The base rate to rent a car is $75. Then, the customer is charged $2.00 per mile for each mile driven over 200 miles. Joel rented a car and drove 250 miles. If y = 2x + 75 models the function, which domain value gives Joel's total rental cost?
A) x=50 B)x=100 C) x=200 D) x=250

Answer 1

Answer : The correct option is, (A) x = 50

Step-by-step explanation :

As we are given that the base rate to rent a car is $75 and the customer is charged $2.00 per mile for each mile driven over 200 miles. That means,

If Joel drove 'x' miles over the allowed 200 miles. So, the customer charge per mile will be, $(2x).

The given model function is:

$y=2x+75$

As, the Joel drove 50 miles over the allowed 200 miles.

So, x = 50 is the domain value that will be multiplied by 2 in the equation of function.

Thus, the domain value gives Joel's total rental cost is, 50

Answer 2

A. x=50. If you are charged $2 when you go over 200 miles and he drove 250 then he drove 50 miles over so the answer is 50.