Choose the equation that best describes the situation below.
1 answer:
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Answer:
<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>
Step-by-step explanation:
<u>Exponential Growing</u>
The population of bacteria grows at a rate expressed by the equation:
Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:
Now we find the time when the population is 5*256=1,280. The equation to solve is:
Dividing by 256:
Taking natural logarithms:
Applying the logarithm properties:
Solving for t:
It will take 26.34 minutes for the population to reach 5 times its initial value
3
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You can put that on a number line. Be sure that the dot you use is closed.
You can put that on a number line. Be sure that the dot you use is closed.