Chapter 9.5, Problem 59SR

a.

To determine

To find: The graph for the given function.

Answer to Problem 59SR

The graph for the given function is shown in Figure-1.

Explanation of Solution

Given information: The free throw percentage is $P\left(x\right)=\frac{6+x}{10+x}$

Calculation:

The graph of the function is shown below.

  

Figure-1

b.

To determine

To explain: The part of graph which is meaningful in the context of the problem.

Explanation of Solution

Given information: The free throw percentage is $P\left(x\right)=\frac{6+x}{10+x}$

The part of the graph which lies in the first quadrant is meaningful in the context of the problem because it shows that for any positive value of $x$ the value of $P\left(x\right)$ will always be less than 1.

c.

To determine

To explain: The meaning of the y-intercept.

Explanation of Solution

Given information: The free throw percentage is $P\left(x\right)=\frac{6+x}{10+x}$

The Y intercept of the graph is at point $\left(0,0.6\right)$ . It represents the original free throw percentage of Zonta which is 60%.

d.

To determine

To explain: The equation of horizontal asymptote and meaning with respect to Zonta’s shooting percentage.

Explanation of Solution

Given information: The free throw percentage is $P\left(x\right)=\frac{6+x}{10+x}$

From the graph of the function it is clear that the equation of horizontal asymptote is $P\left(x\right)=1$ which represents the free throw percentage of Zonta as 100% she cannot achieve as she has already missed 4 free throws.