A bacterial population starts at 200 and quintuples every day. Calculate the percent rate of change rounded to 2 decimal places.

Question

Quizplus · Accepted Answer

To calculate the percent rate of change, we use the formula:

Percent rate of change = ((new value - old value) / old value) * 100

On the first day, the population will be 200 * 5 = 1000. So the percent rate of change will be:

((1000-200) / 200) * 100 = 400%

On the second day, the population will be 1000 * 5 = 5000. So the percent rate of change will be:

((5000-1000) / 1000) * 100 = 400%

We can see that the percent rate of change remains constant, at 400%. Therefore, after n days, the population will be:

200 * (5^n)

And the percent rate of change will be 400%.

So the correct answer is (B) 160.94%.

A Bacterial Population Starts at 200 and Quintuples Every Day