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
[tex]37+0.20\times x\leq 95\\\\\Rightarrow 37+0.20x\leq95\\\\\Rightarrow 0.20x\leq95-37\\\\\Rightarrow 0.20x\leq 58\\\\\Rightarrow x\leq\dfrac{58}{0.20}\\\\\Rightarrow x\leq290.[/tex]
Thus, the maximum number of miles driven by Zachary is 290 miles.
