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4-17.

The price of a home (in thousands of dollars) is associated with the number of square feet in a home. Home prices in Smallville can be modeled using the equation $p=150+0.041a$, where $p$ is the price of the home in thousands of dollars and $a$ is the area of the house in square feet. Home prices in Fancyville can be modeled using the equation $p=250+0.198a$. Ngoc saw a real estate advertisement for a $2800$ square foot home that was selling for $\280,000$. Which city should she predict that the home is in?

How much does a $2800$ square foot home cost in Smallville?
How much in Fancyville?

The price of a $2800$ square foot home in Smallville is $150 + 0.041(2800)$. The price in Fancyville is $250 + 0.198(2800)$. Which is closer to the price of the house that Ngoc saw?

The price of the house Ngoc saw is closer to that of a house in Smallville, so she should predict that the house is in Smallville.

Complete the tables in the eTool below to determine which city the home is in.
Click the link at right for the full version of the eTool: Int1 4-17 HW eTool.