a car rental company charges a daily rate of $26 plus $0.40 per mile for a certain car. suppose that you…

a car rental company charges a daily rate of $26 plus $0.40 per mile for a certain car. suppose that you rent that car for a day and your bill (before taxes) is $206. how many miles did you drive?

a car rental company charges a daily rate of $26 plus $0.40 per mile for a certain car. suppose that you rent that car for a day and your bill (before taxes) is $206. how many miles did you drive?

Answer

Explanation:

Step1: Subtract daily - rate from total bill

Let $x$ be the number of miles driven. The total cost equation is $C = 26+0.4x$. We know $C = 206$. First, subtract the daily - rate of 26 from the total bill of 206: $206 - 26=180$.

Step2: Solve for number of miles

Since the remaining cost 180 is due to the per - mile charge of 0.4 per mile, we can find the number of miles $x$ by dividing the remaining cost by the per - mile rate. So $x=\frac{180}{0.4}=450$.

Answer:

450