Question

In a proposal to some prospective clients, a housing contractor listed the following costs. b dot Fees, permits, miscellaneous $14,000 b dot Construction, per square foot $60

(a) Write a linear function that the clients could use to determine the cost of building a home having f square feet.

Answer 1

The linear function C(f) = 60f + 14,000 represents the total cost of building a home, where f is the number of square feet. It includes fixed costs of $14,000 and construction costs of $60 per square foot.

Step-by-step explanation:

The cost of building a home for the housing contractor can be represented by a linear function, which is a mixture of fixed costs and variable costs. The fixed costs include fees, permits, and miscellaneous expenses totaling $14,000, while the variable costs are based on the construction cost per square foot, which is $60. Therefore, the linear function to determine the total cost C(f) for a home of f square feet would be:
C(f) = 60f + 14,000

This function indicates that for every additional square foot of the home, $60 will be added to the total cost, on top of the initial $14,000.