Chapter 4.7, Problem 47PPS

To determine

To Graph:

Draw a graph for the given situation.

Explanation of Solution

Given Information:

A certain theater will not have a show unless it has sold 50 tickets for that show.Once the capacity of 250 seats are sold, the theater begins selling tickets for the next show.

Calculation:

Let

x -axis = Number of tickets sold

y -axis = Number of shows

First we draw a table :

Number of tickets sold (x)	Number of shows (y)
$0\le x<50$	0
$50\le x\le 250$	1
$250<x\le 500$	2
$500<x\le 750$	3

Now ,

If the number of tickets sold is between 50 and 250, then there will be one show. So, there is a closed circle at (50, 1) and a closed circle at (250, 1). Connect these points with a line.

After that , when the number of tickets sold is between 251 and 500 , there will be 2 shows. So, there is an open circle at (250,2) and a closed circle at (500,2) .Connect these points with a line.

Graph the rest of the data in the table similarly.