Connecting Tables, Graphs and Equations

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Presentation transcript:

Connecting Tables, Graphs and Equations Investigation #2.4

Remember Diana’s Pledge Plan???? Diana’s pledge plan was to have a straight $5 donation plus $0.50 per mile. Her equation was: A = 5 + 0.5d Where A is the total amount of the donation and d is the distance in miles. Diana’s Pledge Plan d (miles) A (dollars) $5.00 1 $5.50 2 $6.00 3 $6.50 4 $7.00 5 $7.50 6 $8.00 7 $8.50 8 $9.00 9 $9.50

Diana’s Pledge Plan can be Graphed The point (6, 8) is on the graph of Diana’s plan. What does this point mean? What is one question you could ask that references this point? How can you use the equation for Diana’s plan to check the answer to the question you made up? How can you use the graph to find the number of miles that Diana walked if a sponsor paid $10? $10 (6, 8) $8 $6 Money Owed $4 $2 0 2 4 6 8 10 12 Distance (miles)

Investigate Pledge Plans Pledge Plan A: y = 5x – 3 What information does the equation give about the pledge plan? Someone will pay $5 per mile minus $3 Use the equation to make a table of values of x from -3 to 3. Sketch the graph x y -3 -18 -2 -13 -1 -8 1 2 7 3 12

Investigate Pledge Plans continued… Sketch the graph x y -3 -18 -2 -13 -1 -8 1 2 7 3 12 How can you use a graph, table, or equation to tell whether the y-values increase, decrease, or stay the same as the x-values increase?