Juan rented a truck for one day. There was a base fee of \( \$ 19.95 \), and there was an additional charge of 74 cents for each mile driven. Juan had to pay \( \$ 170.91 \) when he returned the truck. For how many miles did he drive the truck? miles

To find out how many miles Juan drove the truck, we can set up the equation based on the given costs. The total cost \( C \) can be expressed as: \[ C = \text{Base Fee} + (\text{Cost per mile} \times \text{Number of miles}) \] Given: - Base Fee = \( \$19.95 \) - Cost per mile = \( \$0.74 \) - Total Cost \( C = \$170.91 \) Substituting the values into the equation: \[ 170.91 = 19.95 + (0.74 \times \text{miles}) \] To isolate the number of miles, we first subtract the base fee from both sides: \[ 170.91 - 19.95 = 0.74 \times \text{miles} \] Calculating the left side: \[ 150.96 = 0.74 \times \text{miles} \] Now, divide both sides by \( 0.74 \): \[ \text{miles} = \frac{150.96}{0.74} \] Calculating that gives: \[ \text{miles} \approx 203.00 \] So, Juan drove approximately 203 miles.