Kurt T. answered • 02/09/17

Math Tutoring and Test Prep

Based on the data provided, we know that 400 CDs (500-100) can be produced for $80 (400-320). So each CD costs $0.20 (80/400), not counting the cost of setting up the process. The slope (m) is 0.20, and we must find the setup cost, or y-intercept (b). We can use either data point to do this.

y = mx + b

320 = (0.20 * 100) + b

320 = 20 + b

b = 300

400 = (0.20 * 500) + b

400 = 100 + b

b = 300

The final equation for total cost (C) given the number of CDs to be produced (x) is:

C = 0.20 x + 300