Question

Part A

Answer 1

The linear function that describes the total cost of a tiny house, based on the number of square feet A is given by:

C = 175A + 1000.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

• The house has a fixed cost of $1,000 for the factory equipment, hence the y-intercept is of b = 1000.

• The variable cost is of $175 per square foot, hence the slope is of a = 175.

Then, the equation is given as follows:

C = 175A + 1000.

More can be learned about linear functions at brainly.com/question/24808124

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