Question

A herd of antelope currently has 35 members. Based on theavailable resources, biologists estimate that the size of theherd will increase at a rate of 8% per year. Which of thefollowing graphs models this relationship, if the x-axisrepresents years and the y-axis represents number ofantelope?

Answer 1

option A is correct

Explanation:

Answer 2

The exponential model for the situation is;

`\begin{gathered} y=ab^x \\ where; \\ a=35 \\ b=1+r \\ r=8\text{ \%}=(8)/(100)=0.08 \\ b=1+0.08=1.08 \end{gathered}`

Hence, the model is;

`y=35(1.08)^x`

Using a graph plotter, the graph of the model is;

The graph similar to this graph is;

Therefore, OPTION A is the correct answer.