Question

Please help

The price of a home (in thousands of dollars) is associated with the number of square feet in a home. Home prices in Smavile 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?

Answer 1

Its most likely in Smavile

Explanation:

S - Smavile

F - Fancyville

`p_(s) = 150+ 0.041*2800 \\p_(s) = 150 + 114.8 = 264.8\\\\p_(f) = 250 + 0.198*2800\\p_(f) = 250 + 554.5 = 804.5`

264.8 * 1000 (its in thousands of dollars) = 264,800