Question

There are 300 bunnies on a bunny farm. The farmer says their population

increases at a rate of 20% per year. What is the INITIAL VALUE for this
equation?

Answer 1

The initial value is 300 bunnies

Explanation:

we know that

The equation of a exponention growth function is given by

`y=a(1+r)^x`

where

y is population of a bunnies

x is the number of years

a is the initial value

r is the rate of change

we have

`a=300\\r=20\%=20/100=0.20`

substitute

`y=300(1+0.20)^x`

`y=300(1.20)^x`

therefore

The initial value is 300 bunnies