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

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f(11) = 125(.9)¹¹

       = 39.2

f(15) = 125(.9)¹⁵

       = 25.7

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

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq