Chapter 8, Problem 30SGR

a.

To determine

To write: A function to represent the given situation.

Answer to Problem 30SGR

A function to represents this situation is $f\left(x\right)=\frac{28}{x}$ .

Explanation of Solution

Given information:

The student council is planting 28 trees for a service project. The number of trees each person plants depends on the number of student council members.

Calculation:

Let the number of student council member be $x$ , then the function to represents this situation will be $f\left(x\right)$ .

Since, 28 trees are planted by $x$ members. Therefore, number of trees each person plants is $\frac{28}{x}$ .

Thus, the function will be $f\left(x\right)=\frac{28}{x}$

Hence,

A function to represents this situation is $f\left(x\right)=\frac{28}{x}$ .

b.

To determine

To graph: The function $f\left(x\right)=\frac{28}{x}$ .

Answer to Problem 30SGR

The graph of the function is drawn below.

Explanation of Solution

Given information:

The student council is planting 28 trees for a service project. The number of trees each person plants depends on the number of student council members.

Calculation:

For the function $f\left(x\right)=\frac{28}{x}$

The vertical asymptotes is at $x=0$ . And

The horizontal asymptotes is at $y=0$ .

The graph of the function $f\left(x\right)=\frac{28}{x}$ is drawn below: