Question

Rita will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $65.96 and costs an additional $0.08 per mile driven.

The second plan has an initial fee of $55.96 and costs an additional $0.13 per mile driven. How many miles would Rita need to drive for the two plans to cost
the same?
miles

Answer 1

Answer: Rita needs to drive 200 miles for the cost to be the same.

Explanation:

The first plan could be represent by the equation y = 0.08x + 65.96 where x is the number of miles and y is the total cost.

The second plan could also be represented by the equation y=0.13x + 55.96 where x is the number of miles and y is the total cost.

y = 0.08x + 65.96 solve both equations by letting them equal each other.

y=0.13x + 55.96

0.08x + 65.96 = 0.13x + 55.96

-0.08x 0.08x

65.96 = 0.05x + 55.96

-55.96 -55.96

0.05 x= 10

x= 200

Now plot the value of x into one of the equations and solve for y

y= 0.13(200) + 55.96

y= 81.96