The cost of a new house can be represented by the regression equation c equals 120 f plus 90,000, where $120 is the cost per square foot and $90,000 is the cost of the lot. A new house on a lot costs $438,000.

Question

How many square feet does it have?

Answer options with 5 options
A.
584

B.
2,900

C.
5,265

D.
5,350

E.
14,256

Answer 1

To find the square footage of the house, we need to solve the equation for f:

c = 120f + 90,000

Substitute c = $438,000:

$438,000 = 120f + $90,000

Subtract $90,000 from both sides:

$348,000 = 120f

Divide both sides by 120:

f = $348,000 / 120

f = 2,900

Therefore, the house has 2,900 square feet.

Answer: B. 2,900