Question

To make a quilt, a quilter is buying fabric in two colors, blue and green.The quilter needs at least 9.5 yards of fabric in total.The blue fabric costs $9 a yard.The green fabric costs $13 a yard.The quilter can spend up to $110 on fabric.Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.Inequalities: x+ y ≥ 9.5 9x+13y ≤ 110Describe how you know that he can purchase these amounts

Answer 1

Input Data

Inequalities

`\begin{gathered} x+y\ge9.5 \\ 9x+13y\le110 \end{gathered}`

Procedure

Let's graph the inequalities

We can see in the graph that there is a zone of intersection for the system of inequalities

From the above, we can say that the system has a solution and therefore he can buy the quantities mentioned above