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

Question

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.