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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?

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 W class=
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 W class=

Respuesta :

Solution:

The exponential model for the situation is;

[tex]\begin{gathered} y=ab^x \\ where; \\ a=35 \\ b=1+r \\ r=8\text{ \%}=\frac{8}{100}=0.08 \\ b=1+0.08=1.08 \end{gathered}[/tex]

Hence, the model is;

[tex]y=35(1.08)^x[/tex]

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

The graph similar to this graph is;

Therefore, OPTION A is the correct answer.

Ver imagen AugustinB681809
Ver imagen AugustinB681809

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