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*m*, the number of miles in the taxi ride.

The taxi fare consists of a pick-up fee plus a charge per mile. Let's break down the information given:

- The pick-up fee is $3.20.
- The rate per mile is $5.
- The total fare was $98.20.

Let $ m $ represent the number of miles in the taxi ride. The equation for the total fare can be written as:

\[
\text{Total Fare} = \text{Pick-up Fee} + (\text{Rate per mile}) \times (\text{Number of miles})
\]

Substitute the values into the equation:

\[
98.20 = 3.20 + 5m
\]

Now, solve for $ m $:

1. Subtract the pick-up fee from both sides:
\[
98.20 - 3.20 = 5m
\]
\[
95 = 5m
\]

2. Divide both sides by 5 to isolate $ m $:
\[
m = \frac{95}{5} = 19
\]

Thus, the number of miles in the taxi ride was **19 miles**.

Would you like more details on any part of this solution or have any further questions?

Here are some related questions for further exploration:
1. How would the equation change if the pick-up fee increased by $2?
2. What would the fare be for a 25-mile ride with the same rates?
3. How much would Madison have to pay if the rate per mile increased to $6?
4. How would you calculate the total cost including a 15% tip on the fare?
5. If the total fare was $120 instead of $98.20, how many miles would the ride be?

**Tip:** When solving equations with a variable, always aim to isolate the variable by performing inverse operations step-by-step.

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 the number of miles in the taxi ride.

Learn how to solve a linear equation based on a taxi fare calculation. Madison paid a total of $98.20, with a $3.20 pick-up fee and $5 per mile. Discover how to write and solve this algebraic equation to find the number of miles. Ideal for students in Grades 6-8.

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