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# Slope

Slope . Transitions-Algebra I: Unit 5 . Relationship of Slope to Change in Y Values . Example 3 . In the equation, if x increases by 1 unit, how will the value of y change? .

## Slope

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### Presentation Transcript

1. Slope Transitions-Algebra I: Unit 5

2. Relationship of Slope to Change in Y Values

3. Example 3 In the equation, if x increases by 1 unit, how will the value of y change?

4. Practice: For each equation, determine how y changes when x increases by 1 units. Be sure to include if y increases or decreases.

5. Rate of Change in a Table Unit 5: Slope

6. Example 1 You need a computer for a few days, so you decide to rent one rather than buy it. The rental charges are represented by the data table. What is the rate of change for the computer rental?

7. Example 2 Gerald purchased a tomato plant that measured 1 inches in height and planted it in his garden. At the end of the first week, its height measured 14 inches. At the end of three weeks, its height was 22 inches. What was the average growth rate of the plant in inches per week?

8. Practice #1 A taxi service charges by the mile according to the chart. What is the rate of change?

9. Practice #2 An infant weighs 7.5 pounds at birth. After one month, the baby weighs 9.7 pounds. After three months, the baby weighs 14.1 pounds. What is the baby’s average weight gain in pounds per month?

10. Practice #3 The speed of a car is given in the chart as it applies its brakes. According to the chart, what is the rate of change in the car’s speed?

11. Review #1 Mr. Banks grows and sells organic produce at the local farmer’s market. He pays his young son a weekly allowance based on the equations: Where y is his total allowance and x is the number of weeds and pests he removes from the organic garden. Which of the following BEST describes the son’s rate of change in allowance? A. For every 1 weed/pest removed, he gets \$20. B. For every 1 weed/pest removed, he gets \$2. C. For every 20 weeds/pests removed, he gets \$2. D. For every 20 weeds/pests removed, he gets \$1.

12. Review #2 In the following linear equation, how will the value of y change if the value of x is increased by 1? A. The value of y will increase by 2. B. The value of y will decrease by 2. C. The value of y will increase by 3. D. The value of y will decrease by 3.

13. Review #3 If , which statement best explains how the value of y changes each time x is increased by 1 unit? A. The value of y increases 2/5 units. B. The value of y decreases 2/5 units. C. The value of y increases 5/2 units. D. The value of y decreases 5/2 units.

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