Question

A group of biologists is surveying the mice population in a forest. the equation n=75^t gives the total number of mice,n, t years after the survey began. what does the number 3 mean in this situation.
1. the common difference

2. the total population

3. the common ratio

4. the slope

Answer 1

Complete question is;

A group of biologists is surveying the mice population in a forest. The equation n=75⋅3t gives the total number of mice, n, t years since the survey began.

what does the number 3 mean in this situation.

1. the common difference

2. the total population

3. the common ratio

4. the slope

Answer:

3 is the common ratio

Step-by-step explanation:

We are given that the equation; n = 75⋅3^(t) gives the total number of mice, n, t years since the survey began.

Normally, formula when calculating population growth takes an exponential function;

n = n_o(e^(rt))

Or in this our case, it can be written as;

n = n_o((e^(r))^(t))

Comparing this with n = 75⋅3^(t), we can see that e^(r) = 3

Where r is the growth rate.

e is exponential constant.

Thus, we can say that 3 is the common ratio