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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?

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SonOfZeus

Answer:

x = 1.7 days

Step-by-step explanation:

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


[tex]1000=600e^{0.3x}\\[/tex]

[tex]\frac{1000}{600}=e^{0.3x}\\[/tex]



[tex]\frac{ln\frac{5}{3}}{0.3}=x\\ x=1.70[/tex]

So there will be 1000 flies in approximately 1.7 days

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