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.
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
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