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 11 and 15 compare to the average rate of change between years 1 and 5? the average rate of change between years 11 and 15 is about 13 the rate between years 1 and 5. the average rate of change between years 11 and 15 is about 3 times the rate between years 1 and 5. the average rate of change between years 11 and 15 is about 12 the rate between years 1 and 5 . the average rate of change between years 11 and 15 is about 2 times the rate between years 1 and 5 .

The correct answer is:

The average rate of change between years 11 and 15 is about 1/3 the rate between years 1 and 5.

Explanation:

The amount at year 1 is 125(0.9)¹ = 112.5.  The amount at year 5 is 125(0.9)⁵ = 73.811.  This means the average rate of change is

(73.811-112.5)/(5-1) = -38.689/4 = -9.67225.

The amount at year 11 is 125(0.9)¹¹ = 39.226.  The amount at year 15 is 125(0.9)¹⁵ = 25.736.  This means the average rate of change is

(25.736-39.226)/(15-11) = -13.49/4 = -3.3725.  This is around 1/3 of the rate of change from years 1 to 5.

yes

step-by-step explanation:

step-by-step explanation:

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