Ryan will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $59 and costs an additional $0.08 per mile driven. the second plan has an initial fee of $46 and costs an additional $0.10 per mile driven. a) for what amount of driving do the two plans cost the same? b) what is the cost when the two plans cost the same

First you get the equations
1st's plan total cost = 0,08x + 59
2nd's = 0,10x + 46

(x stands for the total of miles)

a) For you two know when the costs will be the same, you set one equation equal to the other and you find out that if you drive 650 miles, you'd pay the same amount of money. It doesn't matter which plan you pick.

b) Knowing this, just place 650 into the equation and solve.