Madison took a taxi from her house to the airport. The taxi company charged a pick-up fee of \( \$ 3.20 \) plus \( \$ 5 \) per mile. The total fare was \( \$ 98.20 \), not including the tip. Write and solve an equation which can be used to determine \( m \), the number of miles in the taxi ride. Answer Attempt 1 out of 2 Equation: Answer: \( m=\square \)

To determine the number of miles \( m \) Madison traveled in the taxi, we can set up and solve an equation based on the given information. **Given:** - **Pick-up fee:** \$3.20 - **Rate per mile:** \$5 - **Total fare:** \$98.20 **Step 1: Set Up the Equation** The total fare is the sum of the pick-up fee and the cost per mile multiplied by the number of miles traveled. \[ \text{Total Fare} = \text{Pick-up Fee} + (\text{Rate per Mile} \times m) \] Plugging in the known values: \[ 98.20 = 3.20 + 5m \] **Step 2: Solve for \( m \)** Subtract the pick-up fee from both sides of the equation to isolate the term with \( m \): \[ 98.20 - 3.20 = 5m \] \[ 95 = 5m \] Now, divide both sides by 5 to solve for \( m \): \[ m = \frac{95}{5} \] \[ m = 19 \] **Answer:** \[ m = 19 \text{ miles} \]