Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rented a car one day and paid $60.00 for 200 miles. On another day she rented a car from the same agency and paid $90.00 for 350 miles. Determine the linear function that the agency could use to determine its daily rental charges.
A) f ( x ) = 0.2 x + 20
B) f ( x ) = $-$ 0.2 x + 20
C) f ( x ) = 0.2 x $-$ 20

Question

Quizplus · Accepted Answer

Let x be the number of miles driven and y be the total cost. We can set up two equations with the given information:

60 = a + 200b     (where a is the fixed daily rental charge and b is the cost per mile)
90 = a + 350b

Solving for a and b using either substitution or elimination, we get:
a = 20 and b = 0.2

Therefore, the linear function for determining the daily rental charge is:
f(x) = 0.2x + 20.

Suppose That a Car Rental Agency Charges a Fixed Amount −-−

Suppose That a Car Rental Agency Charges a Fixed Amount $-$