Final answer:
The possible widths of the banner when the length of ribbon available is 46 feet are 5.75 feet, 4.6 feet, 3.83 feet, and 3.07 feet. When the banner needs to be 18 feet long, the maximum width that can be made without exceeding the available length of ribbon is 2.56 feet.
Step-by-step explanation:
In Part A of the question, the length of ribbon available is 46 feet.
We need to find the possible widths of the banner.
The width of the banner will be determined by dividing the available length of ribbon by the desired length of the banner. The possible widths are:
A) 8 feet: 46 feet ÷ 8 feet = 5.75 feet
B) 10 feet: 46 feet ÷ 10 feet = 4.6 feet
C) 12 feet: 46 feet ÷ 12 feet = 3.83 feet
D) 15 feet: 46 feet ÷ 15 feet = 3.07 feet
In Part B of the question, the desired length of the banner is 18 feet.
We need to find the maximum width of the banner that can be made without exceeding the available length of ribbon.
The maximum width is obtained by dividing the available length of ribbon by the desired length of the banner.
The maximum width is:
D) 8 feet: 46 feet ÷ 18 feet = 2.56 feet