Question

Holly is making a patchwork quilt. She has completed a rectangular section that is 3 patches long and 5 patches wide. Each week, she plans to make the quilt 1 patch longer and 3 patches wider. Use the drop-down menus below to complete statements using words and symbols to describe the total number of patches after x weeks.

Answer 1

Answer: 1x+3x=x

Explanation:

1 patch longer per week an 3 patches wider per week.

Answer 2

Word: x patch longer after x weeks an 3x patches wider after x weeks

The symbol: 3+ x*1 and 5+ 3x after x weeks

Explanation:

Given that:

• 3 patches long
• 5 patches wide
• Each week, she plans to make the quilt 1 patch longer and 3 patches wider

For example, we will have a table of values:

Week Length Width

1 3 5

2 3+1 5+3

3 3+1+1 5+3 +3

…. ..... .........

x 3+ x*1 5+ 3x

Word: x patch longer after x weeks an 3x patches wider after x weeks

The symbol: 3+ x*1 and 5+ 3x after x weeks