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.

Step-by-step 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 (63)/(0.21)\\ \\ x\leq 300`

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