Question

The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels?.

Answer 1

The function D represents the cost is  $175  for of x towels.

For the first 20 towels, the equation is simply 5x.

The 5 is the cost per towel ($5) times the number of towels sold up to and including 20 towels.

What is the meaning of maximum cost of 20 towels?

Replace x by 20 in given expression  we get the maximum cost

So the maximum cost of those 20 towels is $5 (20)=$100.

Looking at towels 21 and greater, the price drops to $3 each. Putting this in a formula,

Therefore we get,

3(x-20)+100

Which is $3 for the cost per towel, (x-20) since it starts with towel number 21, and +100 for the cost of the first 20 towels.

Let's try it for 45 towels using the formula

3 (45-20)+ 100

=3(25) + 100

=75+ 100

= $175

The function D represents the cost is  $175  for of x towels.

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