Apark 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 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.