Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ A general building contractor estimates the cost to build an outbuilding is $1,200 plus $75 for each square foot of floor space. Determine the linear function that gives the cost of building 900 square feet.

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.