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Math 160

Math 160. 2.4 – Average Rate of Change of a Function. If you drive 100 miles in 2 hours, what’s your average speed? ____________. If you drive 100 miles in 2 hours, what’s your average speed? ____________. 50 mph. Average speed. Average speed. Average speed. Average rate of change.

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Math 160

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  1. Math 160 2.4 – Average Rate of Change of a Function

  2. If you drive 100 miles in 2 hours, what’s your average speed? ____________

  3. If you drive 100 miles in 2 hours, what’s your average speed? ____________ 50 mph

  4. Average speed

  5. Average speed

  6. Average speed

  7. Average rate of change

  8. The average rate of change of the function between and is

  9. Note: The average rate of change is also the slope of the secant line.

  10. Ex 1. Find the average rate of change of between and .

  11. Ex 1. Find the average rate of change of between and .

  12. Ex 1. Find the average rate of change of between and .

  13. Ex 2. Here are the U.N.’s 2012 medium projections of the world’s population. What is the average rate of change of population between 2010 and 2030? What was the average rate of change of population between 2030 and 2050?

  14. Ex 2. Here are the U.N.’s 2012 medium projections of the world’s population. What is the average rate of change of population between 2010 and 2030? What is the average rate of change of population between 2030 and 2050?

  15. Source: Wikipedia

  16. Note: Linear functions have a constant rate of change. This makes sense because the slope of any secant line (that is, the average rate of change) will be the slope of the linear function. For example, the rate of change of is ____.

  17. Note: Linear functions have a constant rate of change. This makes sense because the slope of any secant line (that is, the average rate of change) will be the slope of the linear function. For example, the rate of change of is ____.

  18. Note: Linear functions have a constant rate of change. This makes sense because the slope of any secant line (that is, the average rate of change) will be the slope of the linear function. For example, the rate of change of is ____.

  19. Note: Linear functions have a constant rate of change. This makes sense because the slope of any secant line (that is, the average rate of change) will be the slope of the linear function. For example, the rate of change of is ____.

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