Question

Suzanne is going to rent a car while she is out of town. One car rental company offers a flat rate of $35 per day plus $0.10 per mile. Another car rental company offers the same car for $25 per day plus $0.25 per mile. She will need the car for 5 days. How many miles would she need to drive for the first rental company to be a better deal?

Answer 1

Set two equations. One is for first company and other one is for other company.

y is for total cost and x is miles drove.
\[\large{y_1 = 0.1 x + 35(5)}\]\[\large{y_2 = 0.25 x + 25(5)}\]Graph those equations, then find the intersection. At this point, the x-value is your answer.

Does it make sense?