Question

Mike wants to rent a car for his vacation. The rental costs $125 a week plus $.15 a mile. How far can mike travel in a week if he wants to spend at the most $200?

Answer 1

He can travel 500 miles

Answer 2

Answer: Mike can travel 500 miles if he wants to spend $200.

Step-by-step explanation:  Given that Mike wants to rent a car for his vacation and the rental costs $125 a week plus $.15 a mile.

We are to find the number of miles that Mike can travel in a week if he wants to spend at the most $200.

Let x denotes the number of miles that Mike can travel.

Then, according to the given information, we have

$0.15\timesx+125=200\\\\\Rightarrow 0.15x=200-125\\\\\Rightarrow 0.15x=75\\\\\Rightarrow x=\dfrac{75}{0.15}\\\\\\\Rightarrow x=\dfrac{7500}{15}\\\\\Rightarrow x=500.$

Thus, Mike can travel 500 miles if he wants to spend $200.