HW Score: \( 80 \%, 12 \) of 15 points City Cabs charges a \( \$ 1.50 \) pickup fee and \( \$ 1.75 \) per mile traveled. Diego's fare for a cross-town cab ride is \( \$ 13.75 \). How far did he travel in the cab? Siego traveled \( \square \) miles. (Round to the nearest whole number.)

To find out how far Diego traveled, we need to set up an equation based on the total fare. The total cost can be described by the formula: \( \text{Total Fare} = \text{Pickup Fee} + (\text{Cost per Mile} \times \text{Miles Traveled}) \) Given: - Pickup Fee = \( 1.50 \) - Cost per Mile = \( 1.75 \) - Total Fare = \( 13.75 \) We can substitute the values into the equation: \( 13.75 = 1.50 + (1.75 \times \text{Miles Traveled}) \) First, subtract the pickup fee from the total fare: \( 13.75 - 1.50 = 1.75 \times \text{Miles Traveled} \) \( 12.25 = 1.75 \times \text{Miles Traveled} \) Next, divide both sides by \( 1.75 \): \( \text{Miles Traveled} = \frac{12.25}{1.75} \approx 7 \) So, Diego traveled approximately \( 7 \) miles.