A distributor wholesales desk chairs for $150 and side chairs for $100. Best Furniture wants its to order no more than $1,000 worth of chairs, including more side chairs than desk chairs. Graph a system of inequalities that will show the possible combinations of desk chairs ( x ) and side chairs ( y ) that can be ordered.

Question

Quizplus · Accepted Answer

Let x be the number of desk chairs and y be the number of side chairs ordered.

The total amount spent on chairs cannot exceed $1000:
150x + 100y ≤ 1000

We need to order more side chairs than desk chairs:
y > x

We can put these two inequalities together and graph them on a coordinate plane. The shaded region below the line y > x and below the line 150x + 100y ≤ 1000 represents the possible combinations of desk chairs and side chairs that can be ordered.

The graph that represents this situation is best represented by option C.

A Distributor Wholesales Desk Chairs for $150 and Side Chairs