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. C(x) represents the total cost and x represents the number of boxes, which can be modeled by the function below.

A piecewise function c of x in two pieces. The function is defined by part 1, which is 3 point 75 times x for x greater than 6, and part 2, which is 3 point 25 times x plus 5 for x is greater than or equal to 6.

Predict the cost of an order with 6 boxes.

$14.50
$22.50
$24.50
$27.50

Answer 1

$24.50

Explanation:

In order to predict the cost of an order with 6 boxes, x has to be equal to 6.

So we have to use the function 3.25x + 5 for
`x\geq 6`.

Then, plug in 6 for x and solve.

3.25(6) + 5 = 19.50 + 5 = 24.50