Your office is participating in a charity event for a local food bank. You will be making cinnamon rolls in bulk and know that you must roll out 4.75 inches of dough to make 3 cinnamon rolls. To produce 162 cinnamon rolls, you will need to roll out how many feet of dough? do not round your answer

To determine how many feet of dough you need to roll out to produce 162 cinnamon rolls, you can follow these steps: 1. **Calculate the amount of dough needed for one cinnamon roll**: \[ \text{Dough per cinnamon roll} = \frac{4.75 \text{ inches}}{3 \text{ rolls}} = \frac{4.75}{3} \text{ inches per roll} \] \[ \text{Dough per cinnamon roll} = 1.5833\overline{3} \text{ inches per roll} \] 2. **Calculate the total amount of dough needed for 162 cinnamon rolls**: \[ \text{Total dough} = 162 \text{ rolls} \times 1.5833\overline{3} \text{ inches per roll} \] \[ \text{Total dough} = 162 \times \frac{4.75}{3} = 162 \times 1.5833\overline{3} = 256.25 \text{ inches} \] 3. **Convert inches to feet**: Since there are 12 inches in a foot, you can convert the total inches to feet: \[ \text{Total dough in feet} = \frac{256.25 \text{ inches}}{12 \text{ inches per foot}} = 21.35416667 \text{ feet} \] Thus, to produce 162 cinnamon rolls, you will need to roll out **21.35416667 feet** of dough.