Answer :
Final answer:
The linear function that gives the cost of building an outbuilding for 900 square feet is C = 1,200 + 75s, where s is the square footage. Plugging in 900 for s, the total cost comes out to be $68,700.
Explanation:
The student is given that a general building contractor estimates the base cost to build an outbuilding as $1,200, plus an additional cost of $75 for each square foot of floor space. To determine the linear function that gives the cost of building 900 square feet, we can create the equation C = 1,200 + 75s, where C is the total cost and s is the number of square feet.
For 900 square feet, the function would be C = 1,200 + 75(900). By carrying out the multiplication, we find that C = 1,200 + 67,500. Therefore, the cost for 900 square feet is C = $68,700.
