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Chapter 4: Q. 552 (page 558)

Money. Gerry wants to have a maximum of \(100cash at the ticket booth when his church carnival opens. He will have \)1bills and \(5bills. If xis the number of \)1bills and yis the number of $5bills, the inequality x+5y鈮�100models the situation.

a. Graph the inequality.

b. List three solutions to the inequality x+5y鈮�100where both xand yare integers.

Short Answer

Expert verified

a. The graph of the linear inequality x+5y鈮�100is,

b. The three solutions to the inequality x+5y鈮�100where both xand yare integers are,0,20,100,0and0,0.

Step by step solution

01

Part a Step 1. Given information 

x+5y鈮�100

We need to draw the graph for the given inequality.

02

Part a Step 2. Sketch a graph for the given linear inequality.

03

Part b Step 1. Substitute the values of the coordinates 0,20 in the given inequality.

0+520鈮�100100鈮�100

which is true.

Therefore, 0,20is a solution to x+5y鈮�100.

Substitute the values of the coordinates0,0in the given inequality.

0+50鈮�1000鈮�100

which is true.

Therefore,0,0is a solution tox+5y鈮�100.

04

Part b Step 2. Substitute the values of the coordinates 100,0 in the given inequality.

100+50鈮�100100鈮�100

which is true.

Therefore,100,0is a solution tox+5y鈮�100.

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