Question

The amount of people in a population can be determined by using the model y=1000(1.35)x. What is the growth rate?

A.
35%

B.
1.035%

C.
1.35%

D.
3.5%

Answer 1

The growth rate is 35%

Explanation:

We are given that the amount of people in a population can be determined by using the model :

`y=1000(1.35)^x`

Formula of exponential growth :
`y=a(1+r)^t ----1`

Where y is the population in t years

a = Initial population

r = growth rate

The given equation can be written as
`y=1000(1+0.35)^x`

Om comparing it with 1

r = 0.35

So, Growth rate = 35%

Hence The growth rate is 35%