Question

A group of scientists are studying a new species of insects. They observe the patterns of 6 insects. The scientists find that the insect population, x, is growing exponentiall 20% per month. Which equation can be used to find how many months, t, will it take for there to be a population of 477 insects?

Answer 1

(B)
`477=6(1+0.20)^t`

Explanation:

we can use formula

`P(t)=P_0(1+r)^t`

where

Po is the initial population

r is the growth rate

t is the time in months

We are given

initial population of insects

so, Po=6

The scientists find that the insect population, x, is growing exponentially 20% per month

so, r=0.20

now, we can plug these values

`P(t)=6(1+0.20)^t`

there to be a population of 477 insects

so, P(t)=477

now, we plug it

and we get

`477=6(1+0.20)^t`