Unit 5: Moving Straight Ahead Name ______

Investigation 1.3- Raising Money

Leanne’s sponsor: $10 regardless of how far she walks

Gilberto’s sponsor: $2 per kilometer (km).

Alana’s sponsor: $5 donation plus 50 cents per kilometer

Distance / Leanne / Gilberto / Alana
0
1
2
3
4
5
6

A)  1. Make a table for each student’s pledge plan, showing the amount of money each of his or her sponsors would owe if he or she walked 0 to 6 km.

B) 

What are the dependent and independent variables?

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

3.  Write an equation for each plan.

Leanne’s Plan ______

Gilberto’s Plan ______

Alana’s Plan ______

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

Leanne’s Plan: / Gilberto’s Plan: / Alana’s Plan:

b.  How does this pattern appear in the graph and in the equation for each plan?

Leanne’s Plan: / Gilberto’s Plan: / Alana’s Plan:

c.  How can you determine if a relationship is linear from a table, a graph or an equation?

You can tell you have a Linear Relationship if . . .
Table: / Graph: / Equation:

d.  How can you tell if a relationship is proportional?

Unit 5: Moving Straight Ahead Name ______

Investigation 1.3 (continued)- Raising Money

B)  1. Suppose each student walks 8 kilometers in the walkathon. How much money is each walker owed? Show your work.

Leanne is owed: / Gilberto is owed: / Alana is owed:

2.  Suppose each student receives $10 from a sponsor. How many kilometers does each student walk?

Leanne walked: / Gilberto walked: / Alana walked:

3.  On which graph does the point (12,11) lie? What information does this point represent?

4.  In Alana’s plan, how is the fixed $5 donation represented in the table, graph and the equation?

Table: / Graph: / Equation:

C. 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 raises from each sponsor.

1.  Write an equation that represents the amount of money Gilberto raises from each sponsor after he has paid for the T-shirt. Explain what the numbers and variables mean in your equation.

2.  Graph the equation for distances from 1 to 5 kilometers. Compare this graph to the graph of Gilberto’s pledge in Part A.

3.  Is this relationship linear? How can you tell?

Moving Straight Ahead Investigation 1 Walking Rates