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

Ask by Herrera Hilton. in the United States

Jan 23,2025

Question

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

Ask by Herrera Hilton. in the United States

Jan 23,2025

UpStudy AI · Accepted Answer

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:**
$$
m = 19 \text{ miles}
$$
The number of miles Madison traveled is 19 miles.