# algebra

posted by
**genie** on
.

P. 620 #56. Predicting Home Prices Selling prices of homes

can depend on several factors such as size and age.

The accompanying table shows the selling price for

three homes. In this table, price P is given in thousands

of dollars, age A in years, and home size S in

thousands of square feet. These data may be modeled

by the equation P=a+bA+cS

Price(P) Age(A) Size(S)

190 20 2

320 5 3

50 40 1

(a) Write a system of linear equations whose solution

gives a, b, and c.

(b) Solve the system.

(c) Predict the price of a home that is 10 years old

and has 2500 square feet.