Question

A wildlife biologist determines that there are approximately 350 deer in a region of a national park. The population grows at a rate of 9% per year. What is an exponential function that models the expected population? A f(x) = 350(0.09)* C f(x) = 350(1.09) B f(x) = 350(0.91)* D f(x) = 9(350)

Answer 1

Answer : f(x)=350(1.09)^x , Option c

The number of deer in a particular region = 350

The population grows at a rate of 9%

The standard equation of growth rate is written as

`\begin{gathered} f(x)=a(1+r)^x \\ \text{Where a= initial population} \\ r\text{ = growth rate} \\ x\text{ = period} \end{gathered}`

a = 350

r = 9 %

r = 9/100

r = 0.09

`\begin{gathered} f(x)=350(1+0.09)^x \\ f(x)=350(1.09)^x \end{gathered}`

The answer is Option C