Moving Straight Ahead 1.3 Raising Money (Using Linear Relationships)

 Leanne’s sponsors will pay $10 regardless of how far she walks.

 Gilberto’s sponsors will pay $2 per kilometer (km).

 Alana’s sponsors will make a $5 donation plus 50¢ per kilometer.

1. Make a table showing the amount of money a sponsor would owe under each pledge plan if a student walked distances between 0 and 6 kilometers.

2. Graph the three pledge plans on the same coordinate axes. Use a different color for each plan.

3. For each pledge plan, write an equation that can be used to calculate the amount of money a sponsor owes, given the total distance a student walks.

4. What pattern of change for each pledge plan do you observe in the table?

5. How does this pattern appear in the graph?

6. How does this pattern appear in the equation?

7. If a student walks 8 miles in the walkathon, how much would a sponsor owe under each pledge plan? Explain how you got your answer.

8. For a sponsor to owe a student $10, how many miles would the student have to walk under each pledge plan? Explain how you got your answer.

9. In Alana’s plan, how is the fixed $5 donation represented in

a. the table? b. the graph? c. the equation?

10. Gilberto decides to give a T-shirt to each of his sponsors. Each shirt costs him $4.75. He plans to pay for each shirt with some of the money he collects from each sponsor.

a. Write an equation that represents the amount of money Gilberto makes from each sponsor after he has paid for the t-shirts. Explain what information each number and variable in the equation represents.

b. Graph the equation for distances from 0 to 5 kilometers.

c. Compare this graph to the graph of Gilberto’s pledge plan in Question 2. Moving Straight Ahead 1.3 Raising Money (Using Linear Relationships)

Distance Money Owed (kilometers) Leanne Gilberto Alana 0 1 2 3 4 5 6 Equation