Name:______Date:______Period:______
WEIGHT OF MONEY
Reflect and Apply
As you recall from the activity, the weight in the cup increased by the same amount every time 5 more pennies were added to the cup starting with no weight in the cup. Therefore, the Rate of Change for this problem was the weight per penny. However, in Part III you added four quarters to the cup. Although this did not change the rate of change, it changed the relationship in the sense that the initial amount was now different from zero. This initial amount is represented in a linear equation by the y-intercept. Graphically, the slope of the line remained unchanged but the location of the y-intercept changed.
Based on your experience from The Weight of Money, answer the following questions:
1. What happens to the graph of a line when a constant is added to its equation? (for example, if you have y = 2x and it changes to y = 2x + 4) ______
______
2. What do you think will happen if a constant is subtracted from its equation? (for example, if you have y = 2x and it changes to y = 2x – 4) ______
______
Draw the new line:
SATEC/Alg I/Lin F’ns and Rel’s/Pattern y = mx + b/3.02.05 Weight of Money (R&A).doc/Rev. 07-01 Page 1/2
Name:______Date:______Period:______
3. Given the graph of , draw the graph of
4. Given the graph of , draw the graph of
5. Given the graph of , draw the graph of
7. Given the graph of , draw the graph of
9. Given the graph of , draw the graph of
6. Given the graph of , draw the graph of
8. Given the graph of , draw the graph of
10. Given the graph of , draw the graph of
SATEC/Alg I/Lin F’ns and Rel’s/Pattern y = mx + b/3.02.05 Weight of Money (R&A).doc/Rev. 07-01 Page 1/2