Question

A rental car agency charges $\$190.00$ per week plus $\$0.25$ per mile to rent a car. How many miles can you travel in one week for $\$382.50$?

Answer 1

Hint: In this problem, we have to find the miles travelled in one week for $\$382.50$ as a rental car agency charges $\$190.00$ per week plus $\$0.25$ per mile to rent a car. We can first assume a variable for the unknown miles we have to find, then we can form an equation and solve for it to get the answer.

Complete step by step solution:
We know that a rental car agency charges $\$190.00$ per week plus $\$0.25$ per mile to rent a car.
We can see that $\$190.00$ per week is constant and each mile costs $\$0.25$.
We want to find how many miles we can travel in one week for $\$382.50$.
We can now assume a variable x, which is the number of miles we can travel with $\$382.50$.
We can now form an equation by multiplying the unknown miles to the given mile and add the per week charges to get a total week charges, we get
\[\Rightarrow 190+0.25x=382.5\]
We can now simplify the above step, we get
\[\begin{align}
  & \Rightarrow 0.25x=192.5 \\
 & \Rightarrow x=770 \\
\end{align}\]
Therefore, we can travel 770 miles in one week for $\$382.50$.

Note: Students make mistakes while forming the equation to be solved as we have to multiply the unknown miles to the given mile and add the per week charges to get a total week charge. We should also know how to simplify by adding or subtracting terms in order to cancel each other to get the value.