Julian is interested in building a new house. Three architects have given him plans. The first plan is for a house that will be 2,250 square feet. The total cost of the house will be $281,250. The second plan is for a house that will be 2,400 square feet. The total cost of the second house will be $288,000. The third plan is for a house that will be 2,500 square feet. The total cost of the third house will be $305,000. If Julian wanted to choose the plan with the least expensive cost per square foot, which would he choose?
is there no reason you cant find the price/ft^2 for each house, and compare?
cost= price/area
Divide:
281,250/2,250 = 125 dollars per square foot
Do the others the same way.
To determine which plan has the least expensive cost per square foot, we need to calculate the cost per square foot for each plan by dividing the total cost by the size of the house in square feet.
First, let’s calculate the cost per square foot for each plan:
For the first plan:
Cost per square foot = Total cost / Size of the house
= $281,250 / 2,250 square feet
= $125 per square foot
For the second plan:
Cost per square foot = Total cost / Size of the house
= $288,000 / 2,400 square feet
= $120 per square foot
For the third plan:
Cost per square foot = Total cost / Size of the house
= $305,000 / 2,500 square feet
= $122 per square foot
Comparing the cost per square foot for each plan, we can see that the second plan has the lowest cost per square foot at $120. Therefore, Julian would choose the second plan as it offers the least expensive cost per square foot.