Question

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Solving a decimal word problem using a linear equation with the variable....
LAUNA V
Jenny will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $63.98 and costs an additional $0.09 per mile driven.
The second plan has an initial fee of $53.98 and costs an additional $0.14 per mile driven. How many miles would Jenny need to drive for the two plans to cost
the same?
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Answer 1

To find the number of miles Jenny would need to drive for the two plans to cost the same, set up a linear equation and solve for x. The number of miles is 200.

Step-by-step explanation:

To find the number of miles Jenny would need to drive for the two plans to cost the same, we can set up a linear equation. Let x represent the number of miles driven. The cost of the first plan can be represented as 0.09x + 63.98, and the cost of the second plan can be represented as 0.14x + 53.98. To find the number of miles, we need to set up an equation and solve for x:

0.09x + 63.98 = 0.14x + 53.98

0.14x - 0.09x = 63.98 - 53.98

0.05x = 10

x = 10 / 0.05

x = 200

Jenny would need to drive 200 miles for the two plans to cost the same.

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