Algebra in a calculus class (test tomorrow)

Question

A band is playing their first gig. They print flyers for a $50 flat fee and $.10 per copy.

A) set up a cost equation to represent the cost for printing x flyers (y=.10x+50, right?)

B) what is the average cost per flyer A(x) if they print x flyers?

C) what do you notice about the average cost as the number of flyers increases?

Answer 1

A) This equation is correct

B) The average cost of a flyer would be equal to the total cost, divided by the number of flyers that are created.

The total cost would be your equation in part A. The amount of flyers that are printed is just equal to x.

Thus, A(x) = (0.1x+50)/x

You could simplify this equation to 0.1 + (50/x)

C) You can tell from the equation that as the amount of flyers printed increases, the average cost per flyer will decrease, because the term (50/x) decreases as x grows.