A population culture begins with 15 strands of bacteria and then doubles every 4 hours. This can be modeled as 15(2)t/4, where t is time in hours. How many strands of bacteria are present at 12 hours?

Answer is:
A. 200 strands of bacteria
B. 400 strands of bacteria
C. 252 strands of bacteria
D. 120 strands of bacteria

Respuesta :

the answer is 120 !!!!

The number of strands of bacteria present at 12 hours will be 120. Then the correct option is D.

What is an exponent?

Let a is the initial value and x is the power of the exponent function and b is the increasing factor.

The exponent is given as

y = a(b)ˣ

A population culture begins with 15 strands of bacteria and then doubles every 4 hours.

This can be modeled as

[tex]\rm y =15 \times (2)^{t/4}[/tex], where t is time in hours and y is the number of bacteria.

The number of strands of bacteria present at 12 hours will be

[tex]\rm y =15 \times (2)^{12/4}[/tex]

Simplify the equation, then the number of bacteria will be

y = 15 × 2³

y = 15 × 8

y = 120

The number of strands of bacteria present at 12 hours will be 120.

Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

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