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
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