Chapter 9, Problem 25MCQ

a.

To determine

To write: A function to represent the given situation.

Answer to Problem 25MCQ

A function to represents this situation is $f\left(x\right)=\frac{45}{x}$ .

Explanation of Solution

Given information:

A group makes 45 sandwiches to take on a picnic. The number of sandwiches a person can eat depends on how many people go on the trip.

Calculation:

Let the number of people go on the trip be $x$ , then the function to represents this situation will be $f\left(x\right)$ .

Since, 45 sandwiches are eaten by $x$ people. Therefore, number of sandwiches a person can eat is $\frac{45}{x}$ .

Thus, the function will be $f\left(x\right)=\frac{45}{x}$

Hence,

A function to represents this situation is $f\left(x\right)=\frac{45}{x}$ .

b.

To determine

To graph: The function $f\left(x\right)=\frac{45}{x}$ .

Explanation of Solution

Given information:

From part (a) the function is $f\left(x\right)=\frac{45}{x}$

Graph:

The graph of the function $f\left(x\right)=\frac{45}{x}$ is drawn below:

  

Interpretation:

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

The horizontal asymptotes is at $y=0$ .