question archive Keiko will rent a car for the weekend

Keiko will rent a car for the weekend

Subject:MathPrice:2.86 Bought3

Keiko will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $

75

 and costs an additional $

0.20

 per mile driven. The second plan has no initial fee but costs $

0.70

per mile driven. How many miles would Keiko need to drive for the two plans to cost the same?

miles

 

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Let us write both the plans in the form of equation:

1st plan: $75 + 0.20x , where x is the number of miles driven

2ns plan: 0.70x

To find the number of miles that Keiko would need to drive for the two plans to cost the same, we equate the equations and solve for x as;

=> 75 + 0.20x = 0.70x

=> 0.70x - 0.20x = 75

=> 0.50x = 75

=> x = 75 / 0.50 = 150 miles

Answer: 150 miles