Question

You are in charge of the Annual Powder Puff football game. You designed a t-shirt to sell during the event. A company charges $750 for the first 100 t-shirts and $500 for each additional 100 t-shirts. Write an equation that represents the total cost as a function of the number (in hundreds) of shirts ordered. Find the total cost of 500 t-shirts.

Answer 1

We're looking for C(h), where h is the hundreds of shirts.  The fact that they cost "$500 for each additional 100 t-shirt" tells us the slope is 500.  Knowing that 1 hundred costs 750, we could use point-slope at this point: (C - 750)/(h - 1) = 500C - 750 = 500h - 500C(h) = 500h + 250 We can check that C(1) = 750 and C(2) = 1250, as we expect.  I'll leave it to you to evaluate C(5).