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5-2 rates of change

5-2 rates of change. Miss battaglia – algebra 1 CP Objective: Find rates of change from tables and graphs. Warm up. Find the slope of the sides of the triangle. example. Suppose you type 140 words in 4 minutes. What is your typing rate? or Write each as a rate.

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5-2 rates of change

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  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 • Suppose you type 140 words in 4 minutes. What is your typing rate? • or • Write each as a rate. • You buy 5 yards of fabric for $19.95 • You travel 268.8 mi on 12 gal of gasoline. 140 words or 35 wordsdependent variable 4 min 1 min independent variable

  4. Rate of change • The rate of change allows you to see the relationship between two quantities that are changing. 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. 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. • GRAPH TABLE RATE OF CHANGE • (0,1) to (3,3) • (3,3) to (6,5) • (6,5) to (9,7)

  8. SCIENCE • Tell whether the relationship shown by the data is linear.

  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

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