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Mathematics, 17.07.2020 20:01 awkwardness92

Select the correct answer. A park ranger uses exponential functions to model the population of two species of butterflies in a state park.

The population of species A, x years from today, is modeled by function f.

f(x) = 1,400(0.70)x

The population of species B is modeled by function g, which has an initial value of 1,600 and increases by 20% per year.

Which statement correctly compares the functions modeling the two species?

A.
The population of species A is decreasing, and it had the greater initial population.
B.
The population of species A is decreasing, and it had the smaller initial population.
C.
The populations of both species are increasing, but the population of species A is growing at a faster rate than species B.
D.
The populations of both species are increasing, but the population of species B is growing at a faster rate than species A.

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