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Is Bigger Better?

The size of the average new house in 1950 was 1,100 square feet, and this area had increased to 2,434 square feet by 2005.

In 1975, 20% of the new homes had 2 1/2 baths, while in 2005 this aspect had increased to 59%.

In 1975, 21% of the new homes had 4+ bedrooms, while in 2005 this aspect had increased to 39%.

Question 1: Assuming linear growth, what will be the expected size of a house in the year 2050? Is linearity a good assumption? Explain.

Question 2: Assuming either linear or exponential growth, is it possible for 100% of the houses to have either 2 1/2 baths or 4+ bedrooms? Explain.

Source: Doreen Nagle's "Numbers Say a Lot About Who we Are," Bellingham Herald, 1/8/07