Abacteria culture is started with 300 bacteria. after 4 hours, the population had grown to 500 bacteria. if the population grows exponentially. a: write a recursive formula for the number of bacteria. b: write an explicit formula for the number of bacteria. c: if this trend continues, how many bacteria will there be in 1 day?

a).

b).

c). 6429 bacteria

Step-by-step explanation:

Population of the bacteria grows exponentially.

Therefore, growth of the bacteria will be represented by the formula

Where = Population of the bacteria after time t

= Initial population of the bacteria

k = growth constant

t = time taken for growth

Now we plug in the values in the formula

= 500

= 300

Time t = 4 hours

Now we take the natural log (ln) on both the sides

4k(lne) = ln(500) - ln(300)

4k = 6.2146 - 5.7038

4k = 0.5108

k =

a). Recursive formula for the sequence formed by the bacterial growth

Since

500 = (1 + r)300

r =

Therefore, the recursive formula will be

b). Explicit formula for the number of the bacteria will be

c). We have to calculate the number of bacteria after 24 hours

bacteria

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation:

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step-by-step explanation:

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