Question

The population of fruit flies in a laboratory grows geometrically and is checked everyday at noon. If the population began with 80 fruit flies and reached 125 in two days, what is the population after 4 days?

Answer 1

`\boxed{195}`

Explanation:

The fruit flies grows geometrically.

`125=80k^2`

Find the value of k.

`\sqrt{(125)/(80) } =k`

`1.25=k`

`P=80(1.25)^t`

`t` is number of days.

`P=80(1.25)^4`

`P=195`