You have decided to join a walk-a-thon to raise money for the local animal shelter. There are two teams that you can join. Team A raises $5.50 per mile they walk. Team B raises $6.00 for entering the race, and then $4.00 for every mile they walk.
Start by solving for the number of dollars Team A raised per mile walked. Use the calculator if you need to.
Team A
d=5.5m

Number of miles (m)	Dollars raised (d)	Dollars raised per mile (
m
d
​
)
0	0.00
1	5.50
2	11.00
3	16.50
4	22.00
5	27.50
6	33.00

In this scenario, Team A raises a certain amount of money per mile walked. According to the information provided:

- The relationship between dollars raised ($ d $) and miles walked ($ m $) for Team A is given by the equation:
  \[
  d = 5.5m
  \]
- The dollar amount raised per mile is constant for Team A, which is $5.50 per mile.

Now, let's verify that the data in the table follows this equation:

| Number of miles (m) | Dollars raised (d) | Dollars raised per mile ($ \frac{d}{m} $) |
|---------------------|--------------------|---------------------------------------------|
| 0                   | 0.00               | Undefined (no miles walked)                 |
| 1                   | 5.50               | $ \frac{5.50}{1} = 5.50 $                 |
| 2                   | 11.00              | $ \frac{11.00}{2} = 5.50 $                |
| 3                   | 16.50              | $ \frac{16.50}{3} = 5.50 $                |
| 4                   | 22.00              | $ \frac{22.00}{4} = 5.50 $                |
| 5                   | 27.50              | $ \frac{27.50}{5} = 5.50 $                |
| 6                   | 33.00              | $ \frac{33.00}{6} = 5.50 $                |

Each row in the table confirms that Team A raises $5.50 per mile.

### Summary:
Team A raises **$5.50 per mile walked**, as shown in both the equation and the table.

Would you like to continue solving for Team B or any other aspect of this problem?

### Relative Questions:
1. How does Team B's fundraising structure compare to Team A's?
2. What would happen if the number of miles walked doubled for Team A?
3. What is the total amount raised by Team A if they walk 10 miles?
4. How many miles would Team A need to walk to raise $100?
5. How does the fixed entry fee for Team B affect their overall earnings?

### Tip:
Always compare both the fixed fees and per-mile earnings to determine which team might raise more for specific distances.

Explore how Team A raises money in a walk-a-thon, earning $5.50 for every mile walked. Understand the linear relationship between miles walked and dollars raised per mile, as outlined by the equation d = 5.5m. Ideal for students in Grades 6-8 learning about linear equations and rates.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation