I dont know how to create and solve a piecewise function from a word problem

Question

Your company has decided to distribute flyers advertising your new salsas. The local copy shop charges 0.12 per photocopy for 100 copies or less, then drops the price to 0.09 per copy, after the first 100 are purchased up to 500 copies, then chargers 0.07 per copy over 500, after the first 500 copies are made. Write a piecewise function that gives the cost C (in dollars) of making x photocopies of your flyer at the copy shop.

Answer 1

Hi Amy,

 

Let C be the cost and N be the number of copies made

Then:

 

       .12xN  for   0<N≤100

C =  .09xN  for  100< N<500

       .07xN  for   N≥500 

Is the function you are looking for

 

Regards

Jim S