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.
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.
To calculate the expected selling price for a house that measures 2,200 sq. ft., you need to use the concept of direct variation. Direct variation means that the selling price varies directly with the square footage.
In this case, we can write the equation as:
Selling Price = k * Square Footage
where k is the constant of variation.
To find the value of k, we can use the given information that a 1,600 sq. ft. house sold for $134,400. Plug in these values into the equation:
134,400 = k * 1,600
Now solve for k:
k = 134,400 / 1,600
k = 84
Now that we have the value of k, we can find the expected selling price for a 2,200 sq. ft. house:
Selling Price = 84 * 2,200
Selling Price = $184,800
Therefore, the expected selling price for a house that measures at 2,200 sq. ft. is $184,800.