Question

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population after x years?

f(x) = 1,200(1.03)x
f(x) = 1,200(0.03)x
f(x) = 1,200(0.97)x
f(x) = 1,200(0.97)x

Answer 1

Answer:

hope it help u

Answer 2

" After x years the function f(x) = 1200 * $(0.97)^{x}$ "

Step-by-step explanation:

if they are decreasing at 3%,

net = 100% -3%

net = 97%

Reduction rate = 97% =0.97

After 1st year = 1200 * (0.97)

After 2nd year = 1200 * (0.97) (0.97)

                        = 1200 *$(0.97)^{2}$

After 3rd year = 1200 * (0.97) (0.97) (0.97)

                         = 1200 * $(0.97)^{3}$

After x years = 1200 * $(0.97)^{x}$

Therefore, the function f(x) = 1200 * $(0.97)^{x}$