Question

Question 1. 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 represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabricpurchasedThe inequalities that represent the constraints in this situation arex + y ≥ 9.59x + 13y ≤ 110

Answer 1

1.

From the graphs we can see:

$\begin{gathered} x=\frac{27}{8}=3.375 \\ y=\frac{49}{8}=6.125 \end{gathered}$

So, he can purchase 3.375yd of blue fabric and 6.125yd of green fabric

2. Because the solution represents the values which satisfies the system of equations, a different value will result in an absurd answer