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.

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step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.