2.3+Walking+for+Charity+10-11

Sky Lee Math 7H Problem 2.3 Walking for Charity May 10, 2011

**Big Understanding- Many real world situations can be modeled and predicted using mathematics.** **Essential Question- What is the difference and similarities between a table, a graph, and an equation?**

**Problem 2.3** //** A(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 10 miles. **// //** A(2). Graph the three pledge plans on the same coordinate axes. Use a different color for each plan. **// //**A3. For each pledge plan, write an equation that can be used to calculate the amount of money a sponsor owes, given the total distance the student walks.**// Equations Leanne-Y=X Gilberto-Y=2X Alana-Y=Y=.5X+5

//** B. What effect does increasing the amount pledged per mile have on the table? The graph? The equation? **// Table: The y-axis will increase each time the x-axis increases Graph: The slope of the line (connecting the dots) gets steeper Equation: The co-efficient gets larger

//**C. 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.**// Leanne= $8 (8x1=8) Gilberto= $16 (8x2=16) Alana $9 (.5x8+5=9) I got these answers by solving the equations in the parentheses

**D. 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.** Leanne: 10 miles $10 (10 divided by 1=10miles) Gilberto: 5 miles $10 (10 divided by 2= 5miles) Alana- 10 miles $10 (5 divided by 0.5=10miles) I used equations in the parentheses

**E. Alana suggested that each sponsor should make a $5 donation and then pledge 50 cents per mile. How is this fixed $5 donation represented in the table. In the graph? In the equation?** Table= when the numbers of miles is at zero the pledge money is 5$ Graph= The line enters the first quadrant at 5 on the y-axis. Equation= it contains (+5) in the equation