1. 5-2 RATES OF CHANGE MISS BATTAGLIA – ALGEBRA 1 CP OBJECTIVE: FIND RATES OF CHANGE FROM TABLES AND GRAPHS.

2. WARM UP Find the slope of the sides of the triangle.

3. EXAMPLE 140 words or 35 wordsdependent variable 4 min1 minindependent variable

4. RATE OF CHANGE rate of change = change in the dependent variable change in the independent variable slope = vertical change = change in the dependent variable horizontal change change in the independent variable

5. PARACHUTING Find the rate of change for data graphed on the line. Then explain what the rate of change means in this situation.

6. RENTAL BUSINESS You can rent a computer from Andy’s Rental Company. The first day’s rent is $60. Find the rate of change for renting a computer after the first day. Number of Days Andy’s Rental Company 1$60 2$75 3$90 4$105 5$120 Will the rate of change be the same for any pair of data items?

7. LINEAR FUNCTIONS The graph of a linear function is a line. GRAPHTABLE RATE OF CHANGE (0,1) to (3,3) (3,3) to (6,5) (6,5) to (9,7) xy 01 33 65 97

8. SCIENCE Tell whether the relationship shown by the data is linear. Altitude (ft)Temperature () 0212 4,000204.6 8,000197.2 12,000189.8

9. EXERCISE Laura wished to measure the effectiveness of her new exercise program. At the end of every week, she counts the number of sit-ups that she can do in one minute. If she does 30 sit-ups the first week, 42 sit-ups the second week, and 54 sit-ups the third week, is her progress linear?

10. HOMEWORK 5-2 worksheet