The function f(x)=125(0.9)x models the population of a species of fly in millions after x years. how does the average rate of change between years 1 and 5 compare to the average rate of change between years 11 and 15? the average rate of change is about 13as fast in years 1 to 5.the average rate of change is about 3 times as fast in years 1 to 5.the average rate of change is about 12as fast in years 1 to 5.the average rate of change is 2 times as fast in years 1 to 5.

(B) 3 times as fast

Step-by-step explanation:

rate of change is the "slope" between the given interval.

f(x) = 125(.9)ˣ

f(1) = 125(.9)¹

    = 112.5

f(5) = 125(.9)⁵

     = 73.8

********************

f(11) = 125(.9)¹¹

       = 39.2

f(15) = 125(.9)¹⁵

       = 25.7

********************

The rate of change from years 1 to 5 is approximately 3 times the rate of change from years 11 to 15.

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step-by-step explanation:

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