Question

The equation w = 160(1.2)^x represents the population of deer in an area after 2001 Which statement is true about the population of deer A.The population of deer is increasing by 100 deer each year, B. The population of deer is increasing by 20% each year, C. The population of deer is decreasing by 180 deer each year, D The population of deer is decreasing 20% each year

Answer 1

B. The population of deer is increasing by 20% each year

Step-by-step explanation:

The function that models the population growth of the deer is given as:

`w=160\mleft(1.2\mright)^x`

We can rewrite the function as:

`\begin{gathered} w=160\mleft(1+0.2\mright)^x \\ w=160(1+20\%)^x \end{gathered}`

From the above, we see that the population of deer is increasing by 20% each year.