Question:
Ryan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of 53.98 and costs an additional $0.16 per mile driven. How many miles would Ryan need to drive for the two plans to cost the same?
Answer:
The number of miles Ryan needs to drive for the two plans to cost the same is 200 miles
Explanation:
Here we have
The initial fee of the first plan = $57.98
Additional mile cost of the first plan = $0.14
The initial fee of the second plan = $53.98
Additional mile cost of the first plan = $0.16
Let the mileage required for the two plans to cost the same be Y miles
Therefore,
$57.98 + $0.14 ×Y = $53.98 + $0.16 ×Y
$0.16 ×Y - $0.14 ×Y = $57.98 - $53.98 = $4.00
$0.02 ×Y = $4.00
Y = 200 miles
The number of miles driven for the two plans to cost the same = 200 miles.