piecewise function

Question

the Nebraska Corn-widget Factory is selling it's popular "Corn Hole Toss Game" normally a $24.95 value with a special quantity discount to wholesalers. Buy at least 10 units and receive 10% off. By at least 25 units and received 15% off. Buy at least 50 units and receive 20% off.

write a piecewise function that will calculate the purchase costs of the games.

Answer 1

The Total Cost equals the unit cost times the number of units bought. Let x be the number of units bought. The unit price is $24.95 if you buy less than 10 units (x < 10) So the Total Cost for less than 10 units is:

TOTAL COST = ($24.95)x if x < 10

If you buy between 10 and 20 units, you get 10% off, so the unit price reduces to ($24.95)(1 - 0.1) = $22.45. So the total cost is:

TOTAL COST = ($22.46)x if 10 <= x < 20

So far it looks like:

/

| ($24.95)x if x < 10

TOTAL COST = < ($22.46)x if 10 <= x < 20

| ..... if 20 <= x < 50

| ...... if x >= 50

\

Can you finish the last two? They are similar to the x <=10 < 20 case