2.3+Walking+for+Charity+10-11

** 14th May 2011 ** ** Math 7D ** ** Walking for Charity **
 * TM **

** In This problem we will refer to Leanne, Gilberto and Alana's suggestions as pledge plans. **

** 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 to 10 miles. **


 * ** Distance ** || ** Leanne ** || ** Gilberto ** || ** Alana ** ||
 * ** 0 ** || ** 0 ** || ** 0 ** || ** 5 ** ||
 * ** 1 ** || ** 1 ** || ** 2 ** || ** 5.50 ** ||
 * ** 2 ** || ** 2 ** || ** 4 ** || ** 6.00 ** ||
 * ** 3 ** || ** 3 ** || ** 6 ** || ** 6.50 ** ||
 * ** 4 ** || ** 4 ** || ** 8 ** || ** 7.00 ** ||
 * ** 5 ** || ** 5 ** || ** 10 ** || ** 7.50 ** ||
 * ** 6 ** || ** 6 ** || ** 12 ** || ** 8.00 ** ||
 * ** 7 ** || ** 7 ** || ** 14 ** || ** 8.50 ** ||
 * ** 8 ** || ** 8 ** || ** 16 ** || ** 9.00 ** ||
 * ** 9 ** || ** 9 ** || ** 18 ** || ** 9.50 ** ||
 * ** 10 ** || ** 10 ** || ** 20 ** || ** 10.00 ** ||


 * 2. Graph the three pledge plans on the same coordinate axes. **

Leanne : y=1x+0 Gilberto: y=2x+0 Alana: y=.50x+5
 * 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 the student walks **

On graphs : It makes it step and creates a linear relationship plus every time the amount increases the line gets steeper and tall. On tables: the table continues with the same differences On equations: the coefficient for x increases.
 * B. What effect does increasing the amount pledged per mile have on the table? On the graph? On the equation? **

Leanne - $8 Gilberto- $16 Alana- $9 Leanne - $10 Gilberto – $20 Alana- $10 It will be represented in a table by writing it in for zero miles for the y axis, for a table. And on a graph the zero origin point will have a coordinate.
 * C. If a student walks 8 miles in the walkathon, how much would a sponsor owe under the pledge plan? Explain how you got your answer. **
 * 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. **
 * E Alana suggested that each sponsor make a $5 donation and then the pledge be 5 cense per mile. How is this fixed $5 donation represented in the table? In the graph? In the equation? **

** Follow Up: ** **1A On the graph of a pledge plan the point (2,6) means that a student who walks 2 miles earns $6 from each sponsor. On which of the graphs is the point (2,6)?** X axes is the point 2 and y axes is the point 6 **1B Find a point on each graph, and describe what the coordinates of a point mean in the context of the walkathon** It would mean how much more is raised/earned **2A. Write an equation for a pledge plan whose graph is a steeper line then any of the lines you graphed in the problem. Check your equation by graphing it on the coordinate axes with the three lines** y=4x+0 **2B write an equation for a pledge plan whose graph is less step than any of the lines you graphed in the problem. Check your equation by graphing it on the coordinate axes with the other lines.** Y=.1x+2