If the number of bacteria in a colony doubles every 210 minutes and the population is currently 8,000 bacteria, what will the population be in 630 minutes and is it modeled by a linear function or a exponential function? a) 24,000; linear function b) 24,000; exponential function c) 64,000; linear function d) 64,000; exponential function

Option D. 64000 ; exponential function.

Step-by-step explanation:

Since number of bacteria in a colony doubles every 210 minutes.

Therefore the function will be modeled by an exponential function with a common ratio of 2.

Currently the population is 8000 bacteria.

Therefore the expression will be

Here a = initial population

n = time or period

Tn = population after n minutes

k = constant

210k = 1 ⇒

Now we have to find the population after 630 minutes.

Therefore the answer is option D). 64000 ; exponential function.

2

step-by-step explanation:

1+1=2

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