In a certain neighborhood, the selling price of a house varies directly with its square footage. Last week, a 1,600 sq. ft. house sold for $134,400. Calculate the expected selling price for a house that measures at 2,200 sq. ft.

Answer 1

If the selling price of a house varies directly with its square footage, then we can write the relationship as follows:

Selling Price = k * Square Footage

Where k is the constant of variation.

To find the constant of variation, we can use the given information about a 1,600 sq. ft. house selling for $134,400. Plugging in these values into the equation, we have:

134400 = k * 1600

To solve for k, we divide both sides of the equation by 1600:

k = 134400 / 1600 = 84

Now that we have the constant of variation, we can use it to find the expected selling price for a house measuring 2,200 sq. ft.:

Selling Price = k * Square Footage
Selling Price = 84 * 2200 = $184,800

Therefore, the expected selling price for a house that measures 2,200 sq. ft. is $184,800.