Question

ryan rented a truck for one day. there was a base fee of $15.95, and there was an additional charge of $0.96 for each mile driven. ryan had to pay $196.43 when he returned the truck. for how many miles did he drive the truck?

Explanation:

Step1: Find the total additional charge

Let the total cost be \( C = 196.43 \) dollars and the base fee be \( B = 15.95 \) dollars. The additional charge \( A \) is the total cost minus the base fee.
\( A = C - B = 196.43 - 15.95 = 180.48 \) dollars.

Step2: Calculate the number of miles

The additional charge per mile is \( r = 0.96 \) dollars per mile. Let the number of miles be \( m \). We know that \( A = r\times m \), so \( m=\frac{A}{r} \).
Substituting the values, \( m = \frac{180.48}{0.96}= 188 \) miles.

Answer:

188