Question

A fruit fly experiment starts with 600 flies. If the number of flies after x days is given by the function P(x)=600e^0.3x, how many days will it be until there are 1000 flies?

Answer 1

x = 1.7 days

Explanation:

Since ln(x) is the inverse of
`e^x` and we want to find out when P(x)=1000, we will substitute P(x) by 1000 and then solve for x days.

`1000=600e^(0.3x)\\`

`(1000)/(600)=e^(0.3x)\\`

`(ln(5)/(3))/(0.3)=x\\ x=1.70`

So there will be 1000 flies in approximately 1.7 days