Use an inequality to solve the problem. Be sure to show the inequality and all of your work. A car rental company has two rental rates. Rate 1 is $63 per day plus $0.18 per mile. Rate 2 is $126 per day plus $0.09 per mile. If you plan to rent for one week, how many miles would you need to drive to pay less by taking Rate 2?

Answer 1

let the number of miles driven be x

when is .09x + 126 ≤ .18x + 63 ?
times 100
9x + 12600 ≤ 18x + 6300
-9x ≤ - 6300
x ≥ 700

Answer 2

x >700