Question

Suppose that 40 deer are introduced in a protected wilderness area. The population of the herd

Answer 1

The horizontal asymptote of the function is the minimum number of deer in the area.

• The equation of horizontal asymptote is: $\mathbf{y = 40}$
• The horizontal asymptote means that, the number of deer will never be less than 40

The equation is given as:

$\mathbf{f(x) = \frac{40 + 2x}{1 + 0.05x}}$

Expand the numerator

$\mathbf{f(x) = \frac{40(1 + 0.05x)}{1 + 0.05x}}$

Cancel out the common factor

$\mathbf{f(x) = 40}$

Hence, the equation of horizontal asymptote is:

$\mathbf{y = 40}$

The horizontal asymptote means that, the number of deer will never be less than 40

Read more about horizontal asymptotes at:

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