Question

The population of a certain type of fish in a lake doubles every 3 years through t=12 years. What is the average rate of change in the number of fish in the lake between t=6 years and t=12 years? -9,000 fish per year-900 fish per year-1,800 fish per year-10,800 fish per year-1,200 fish per year

Answer 1

From the table

Rate of change in the number of fish in the lake between t=6 years and t=12 years

for t = 6 population of fish = 3600

for t = 12 population of fish = 14400

`\begin{gathered} \text{Rate of chnage in the number of fish betw}een\text{ t = 6 and t = 12} \\ =\text{ }\frac{14400\text{ - 3600}}{12\text{ - 6}} \\ =\text{ }(10800)/(6) \\ =\text{ 1,800 fish per year} \end{gathered}`