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

Answer:

x = 1.7 days

Step-by-step 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.

$1000=600e^{0.3x}$

$\frac{1000}{600}=e^{0.3x}$

$\frac{ln\frac{5}{3}}{0.3}=x\\ x=1.70$

So there will be 1000 flies in approximately 1.7 days