Final answer:
To create a banner 1272 inches long with sheets that are 8.5 inches wide, divide the total length by the width, which results in approximately 149.647 sheets. Since partial sheets aren't possible, the teacher needs 150 sheets.
Step-by-step explanation:
The question asks how many sheets of paper are needed to create a science banner that is 1272 inches long, given that each sheet is 8½ inches wide. To find the answer, divide the total length of the banner by the width of a single sheet of paper:
1272 ÷ 8.5 = 149.647
Since you can't have a fraction of a sheet, you would round up to the next whole number, which is 150. Therefore, the teacher will need 150 sheets of paper to create a banner of the desired length.
The correct option from the given choices is Option 1: 150 sheets.