Q:

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

Accepted Solution

A:
Answer:DTHE POPULATION OF SPECIES A IS DECREASING. AND IT HAD THE SMALLER INITIAL POPULATION