Question

A company invests $50,000 in a building where they can produce saws. If the cost of producing one saw is $40, which function expresses the amount of money the company pays? The variable y is the money paid, and x is the number of saws produced.

A. y=40x+50,000
B. y=50,000x−40
C. y=40−50,000x
D. y=40x

Answer 1

The function that expresses the total amount of money the company pays, considering its initial investment and production costs, is y = 40x + 50,000, where 'y' indicates the total money paid and 'x' is the number of saws produced.

Step-by-step explanation:

To determine the function that expresses the amount of money the company pays, we need to consider both the initial investment and the cost per unit. Since the company invests $50,000 in a building initially, that value represents a fixed cost, which is the y-intercept in the equation. Then, for every saw produced at a cost of $40 each, the variable cost is represented by the slope of the function. Accordingly, for x saws produced, the cost is $40 per saw plus the initial $50,000 investment.

Therefore, the function that expresses the total amount of money paid by the company is y = 40x + 50,000, where y is the total money paid, and x is the number of saws produced. This is represented by option A.