Yolanda will rent a car for the weekend. she can choose one of two plans. the first plan has an initial fee of $57 and costs an additional $0.11 per mile driven. the second plan has an initial fee of $50 and costs an additional $0.13 per mile driven. for what amount of driving do the two plans cost the same? what is the cost when the two plans cost the same?

For the first plan, we can write it as 57+0.11m if m represents the miles driven due to that we have a base value of 57 but add $0.11 per mile . Similarly, for the second plan we can write 50+0.13m. Since we want them to be equal, we have 57+0.11m=50+0.13m. Subtracting 0.11m as well as 50 from both sides, we get 0.02m=7. Next, we can multiply both sides by 50 to get 350=the amount of miles needed for them to be the same. For the cost, we can plug 350 into either expression to get 57+0.11*350=95.5 dollars