Question

A wildlife preservation group records the number of squirrels in a city park. The first count recorded is 30 squirrels. A second count of 60 squirrels is recorded six months later, and 120 squirrels are counted at the end of one year. Assuming that no squirrel dies and the growth rate remains the same, which function represents the number of squirrels after x years? A) f(x) = 30x B) f(x) = 302x C) f(x) = 30(2)x D) f(x) = 30(2)2x

Answer 1

A F(x)=30x

Explanation:

just plug number in to the equations to see which one matches

Answer 2

Answer:
`f(x)=30\cdot2^(2x)`

Explanation:

Given: A wildlife preservation group records the number of squirrels in a city park.

The first count recorded = 30 squirrels.

A second count of 60 squirrels is recorded six months later, and 120 squirrels are counted at the end of one year.

The growth rate of squirrel=
`(120)/(30)=4=2^2`

The exponential growth equation is given by :-

`y=Ab^n`, where A is the initial amount , b is the growth rate and n is the time period.

If the growth rate remains constant, then the function represents the number of squirrels after x years is given by :-

`f(x)=30\cdot(2^2)^x=30\cdot2^(2x)`