Question

HELP WILL REWARD

Salma will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $61.98
and costs an additional $0.08
per mile driven. The second plan has an initial fee of $53.98
and costs an additional $0.13
per mile driven. How many miles would Salma need to drive for the two plans to cost the same?

Answer 1

Answer: 160 miles

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Step-by-step explanation:

x = number of miles driven, y = cost

First plan: y = 0.08x + 61.98

Second plan: y = 0.13x + 53.98

Equate the two right hand sides of each equation; solve for x

0.13x + 53.98 = 0.08x + 61.98

0.13x - 0.08x = 61.98 - 53.98

0.05x = 8

x = 8/0.05

x = 160

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Extra Info: plugging x = 160 into each equation gives us...

y = 0.08x + 61.98 = 0.08*160+61.98 = 74.78

y = 0.13x + 53.98 = 0.13*160 + 53.98 = 74.78

Therefore, driving 160 miles for each plan yields the same cost $74.78, which helps us confirm we have the right answer.