Question

Zachary can spend no more than $95 per day to rent a car. A car rents for $37 per day plus $0.20 per mile. What is the maximum number of miles that he can drive the car ?

Answer 1

($95-$37) /$0.2 = 300miles

Answer 2

Answer: The maximum number of miles driven by Zachary is 290 miles.

Step-by-step explanation: Given that Zachary can spend no more than $95 per day to rent a car. A car rents for $37 per day plus $0.20 per mile.

We are to find the maximum number of miles that he can drive the car.

Let x represents the number of miles that that can be driven by Zachary.

Then, according to the given information, we have

`37+0.20* x\leq 95\\\\\Rightarrow 37+0.20x\leq95\\\\\Rightarrow 0.20x\leq95-37\\\\\Rightarrow 0.20x\leq 58\\\\\Rightarrow x\leq(58)/(0.20)\\\\\Rightarrow x\leq290.`

Thus, the maximum number of miles driven by Zachary is 290 miles.