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kumpel [21]
3 years ago
10

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 m

any days will it be until there are 1000 flies?
(20 points)

Explain Your Answer!
Mathematics
1 answer:
slega [8]3 years ago
6 0
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.

1600e^0.3x = 1000

Divide 600 for both sides you will get:

5/3 = e^0.3x

Multiply ( ln ) for both sides and then divide by 0.3.

(ln 5/3)/(0.3) = x

x = 1.7

So there will be 1000 flies in approximately 1.7 days
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Answer:

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Step-by-step explanation:

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\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

→ Expand the brackets

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→ Multiply everything by 12 to make solving the equation easier

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\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

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\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0

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Answer:

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