Question 7 (3 points) A stack of 500 pleces of paper is 1.875 inches tall. (Part A) Diego guesses that each plece of paper is 0.015 inches thick. Explain how you know that Diego's answer is NOT correct. (Part B) Compute the thickness of each piece of paper. Show your reasoning by uploading a photo or screenshot of your work. Use this Peardeck for scratch paper as needed. Show Rubric B I \( \underline{U} \) \( S^{*} S_{0} \) \( \pi \) \( \Omega \)

Diego's guess of 0.015 inches per piece of paper can be easily checked by multiplying it by the total number of pieces in the stack. If we take 0.015 inches and multiply it by 500 pieces, we get 7.5 inches total. Since the actual height of the stack is just 1.875 inches, Diego's estimate is far too high! Clearly, his answer doesn’t account for the actual measurements. To find the correct thickness, we take the total height of the stack, which is 1.875 inches, and divide it by the number of pieces of paper, which is 500. So, \( \text{Thickness} = \frac{1.875 \text{ inches}}{500} = 0.00375 \text{ inches} \) per piece of paper. This gives us the true thickness of each sheet and reveals how unreasonably thick Diego's guess was!