Question

A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?

Answer 1

The piecewise function that models the scenario is:

c(x) = $3.75*x + $5   if x < 6

c(x) = $3.25*x + $5  if x ≥ 6.

How to write a piecewise function?

A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.

The function in this case, if we define x as the number of boxes bought, is:

• c(x) = $3.75*x + $5   if x < 6
• c(x) = $3.25*x + $5  if x ≥ 6.

Where the cost per box changes for x equal or larger than 6.

If you want to learn more about piecewise functions, you can read:

brainly.com/question/3628123