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

Answer:

The initial value is 300 bunnies

Step-by-step 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