Chapter 8, Problem 15MCQ

To determine

To write and graph:

An equation giving the total cost y (in dollars) of entering x plays. Tell whether each equation is a function.

Answer to Problem 15MCQ

The total cost of entering x plays would be $y=40x+50$ .

Explanation of Solution

Given:

The drama club pays a registration fee of $50 to take part in a festival of one-act plays and $40 for each play the club enters.

Calculation:

Let x represent number of plays.

We have been given that drama pays $40 for each play, so amount paid for x plays would be $40x.$

Since club pays a registration fee of $50 to take part in one-act plays, so total cost of entering x plays would be cost of x plays plus the registration fee. We can represent our given information in an equation as:

  $y=40x+50$

Upon graphing $y=40x+50$ , we will get our required graph as shown below: