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a culture started with 1,000 bacteria. after 5 hours, it grew to 1,200 bacteria. predict how many bacteria will be present after 11 hours. round your answer to the nearest whole number.

User Lidkxx
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2 Answers

3 votes

Answer:

1500

Explanation:

Plato, just took the quiz.

User Oleh Kurpiak
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5 votes
This is exponential growth of the form:

f=ir^t, f=final value, i=initial value, r=rate, t=time

Let's solve for the rate given the point provided....

1200=1000r^5

1.2=r^5

r=1.2^(1/5)

So our equation is:

f=1000(1.2^(1/5)^t) which is equal to

f=1000(1.2)^(t/5) so when t=11

f=1000(1.2)^(11/5)

f≈1493 (to nearest whole number)
User Reuben Bijl
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6.8k points