### Home > CCA > Chapter 6 > Lesson 6.1.2 > Problem 6-16

The price of homes (in thousands of dollars) is associated with the number of square feet in a home. Home prices in Smallville can be modeled with the equation *p* = 150 + 0.041*a* 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 with the equation *p* = 250 + 0.198*a*. 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? *6-16 HW eTool* (Desmos). Homework Help ✎

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: CCA 6-16 HW eTool

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 + 0.981(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.