SOLUTION: Diane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.50 per mile driven. The second plan has

Question 844711: Diane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs $0.70 per mile driven. How many miles would Diane need to drive for the two plans to cost the same?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of miles she
has to drive for the 2 plans to cost the same
Let = cost
For the 1st plan:

For the 2nd plan:

----------------
Make the costs of the 2 plans the same

Diane needs to drive 275 mi for the two plans to cost the same
-------------
Here is the plot for the 2 plans:

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