Question

Zachary can spend no more than ​$98 per day to rent a car. A car rents for ​$35 per day plus ​$0.21 per mile. What is the maximum number of miles that he can drive the​ car?

Answer 1

The maximum number of miles that he can drive the​ car will be 300 miles.

Explanation

Suppose, the number of miles he can drive the car is $x$

The car rents for ​$35 per day plus ​$0.21 per mile. So, the total cost for $x$ miles $= (35+0.21x) dollar$

As he can spend no more than ​$98 per day, so.....

$35+0.21x\leq 98\\ \\ 0.21x\leq 98-35\\ \\ 0.21x\leq 63\\ \\ x\leq \frac{63}{0.21}\\ \\ x\leq 300$

Thus, the maximum number of miles that he can drive the​ car will be 300 miles.