A population culture begins with 20 strands of bacteria and then doubles every 4 hours. This can be modeled by , where t is time in hours. How many strands of bacteria are present at 20 hours? Question 13 options:

A)

425 strands of bacteria

B)

567 strands of bacteria

C)

640 strands of bacteria

D)

375 strands of bacteria

C) 640 strands of bacteria

Step-by-step explanation:

We are told in the question that the population doubles every 4 hours

Hence, formula to solve this question =

P(t) = Po × 2^t/k

From the question, we have the following information:

Beginning amount (Po) = 20 strands of bacteria

Rate(k) = 4 hours

Time(t) = 20 hours

Ending time (P(t)) = unknown

Ending amount = 20 × 2^20/4

= 20 × 2^5

= 20 × 320

= 640 strands of bacteria.

Therefore, the number of strands left after 20 hours is 640 strands of bacteria.

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step-by-step explanation: