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20 September, 05:12

The function f (x) = 80 (1.5) ^x models a bacteria population after x hours. How does the average rate of change between Hours 4 and 8 compare to the average rate of change between Hours 0 and 4?

Answers:

The average rate of change is 1.5 times as fast

The average rate of change is 5.0625 times as fast

The average rate of change is 2.25 times as fast.

The average rate of change is 4 times as fast.

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Answers (1)
  1. 20 September, 07:10
    0
    F (x) = 80 * 1.5^x

    f (0) = 80

    f (4) = 80 * 1.5^4 = 405

    f (8) = 80 * 1.5^8 = 2050.3124

    The average rate of change between hours 4 and 8:

    (2050.3124 - 405) : 4 = 411.3281

    The average rate of change between hours 0 and 4:

    (405 - 80) : 4 = 81.25

    411.3281 : 81.25 = 5.0625

    Answer:

    B) The average rate of change is 5.0625 times as fast.
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Home » Mathematics » The function f (x) = 80 (1.5) ^x models a bacteria population after x hours. How does the average rate of change between Hours 4 and 8 compare to the average rate of change between Hours 0 and 4? Answers: The average rate of change is 1.
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