A Quilting Project

​ A Quilting Project

By AmberMae Krautter

To make a quilt, a quilter is buying fabric in two colors, light and dark. He needs at least 9.5 yards of fabric total.
The light color costs $9 a yard. The dark color costs $13 a yard. The quilter can spend up to $110 on fabric.
Here are two graphs to represent the two constraints.

To make a quilt, a quilter is buying fabric in two colors, light and dark. He needs at least 9.5 yards of fabric total.
The light color costs $9 a yard. The dark color costs $13 a yard.
The quilter can spend up to $110 on fabric.

1. Write and inequality to represent the length constraint.
Let x represent the yards of light fabric and y represent the yards of dark fabric.

2. Select all the pairs that satisfy the length constraint.

(5, 5) (2. 5, 4.5) (7.5, 3. 5) (12, 10)

To make a quilt, a quilter is buying fabric in two colors, light and dark. He needs at least 9.5 yards of fabric total.
The light color costs $9 a yard. The dark color costs $13 a yard.
The quilter can spend up to $110 on fabric.

3. Write an inequality to represent the cost constraint.

4. Select all the pairs that satisfy the cost constraint.

(1, 1) (4, 5) (8, 3) (10, 1)

5. Explain why (2, 2) satisfies the cost constraint, but not the length constraint.

6. Find at least one pair of numbers that satisfies both constraints. Be prepared to explain how you know.

What does the pair of numbers represent in this situation?