The physicist Enrico Fermi once asked a class of students to estimate the number of piano tuners in Chicago. We'll walk through the same estimating process that he used to solve this problem. For each step, explain your thought process for the estimate or calculation. Do not look up any values. Use your reasoning skills to estimate at each step along the way. Note: there is no one right answer. You will need to explain your reasoning for all the estimations. Question 1 (6 points) Retake question Suppose the city of Chicago has approximately 3 million people living in it. From this value, estimate how many households are in Chicago. (Hint: First estimate how many people are in a household)

To estimate the number of households in Chicago, I would start by thinking about the average household size. A common estimation is around 3 to 4 people per household. Let’s go with 3.5 as a reasonable average. Now, to find the number of households, I would divide the total population of Chicago, which is about 3 million people, by the estimated household size. Doing the math: 3 million ÷ 3.5 gives approximately 857,143 households. This rough estimate gives us a general idea of how many households might be in the city! As a fun follow-up, imagine how diverse those households might be—from busy families in the suburbs to high-rise apartments downtown, each contributing to the rich tapestry of urban life. And within those homes, the number of pianos, of course! Who knew estimating could lead to such exciting thoughts?