Question

A car rental agency rents cars for $26.20 per day plus $0.35 per mile driven. Your travel budget is $200. Write an inequality that represents the maximum number of miles you can drive during a one-day rental.

Answer 1

For this case we have to:

x: Represents the number of miles that can be traveled in a day

We have that the cost of daily car rental is given by the following expression:

$26.20 + 0.35x$

If the person has a budget of $200 then we have to:

$26.20+0.35x\leq200\\0.35x\leq200-26.20\\0.35x\leq173.8\\x\leq\frac{173.8}{0.35}\\x\leq496.57$

Thus, you can travel 496 miles in one day.

Answer:

$26.20 + 0.35x \leq200$