Question

A population of 240 birds increases at a rate of 16% annually. Jemel writes an exponential function of the form f(x) = abx to represent the number of birds after x years. Which values should she use for a and b?

Answer 1

Is it ab^x

I think

a=240

b=1.16

Answer 2

Answer:

After 1 yr   f(1) = 240 * (1 + .16)

after 2 yrs   f2) = 240 * f(x) = 240 * (1 + .16) * (1 + .16) = 240 * (1 + .16)^2

likewise after 3 yrs f(3) = 240 * (1 + .16)^3

and after x yrs  f(x) = 240 * (1 + .16)^x