Question

Exponential Growth Rabbits can double in number every 30 days. If there are 20 rabbits on a farm at the beginning, how many rabbits will be on the farm after 60 days? y=I(1+r)^(t) Let's start by finding the values for our variables: I= initial (or starting ) amount =[?]

Answer 1

80 rabbits

Explanation:

y = I(1 + r)t

y = number of rabbits after t periods at r rate of growth

I = initial (or starting) amount = 20

r = rate of growth = 100% = 1

t = number of periods

The number of rabbits doubles every 30 days.

30 days is 1 period in which the growth is 100%.

In 60 days, there are 2 periods.

t = number of periods = 2

y = 20(1 + 1)²

y = 20(2²)

y = 20 × 4

y = 80

Answer: 80 rabbits