Question

The cost of packing a box of chocolates is given by x2, where x is the number of chocolates (a box can never have fewer than 3 chocolates). If the weight of a box of chocolates is given by x + 2, what is the cost of packaging per weight unit?

Answer 1

For a box with x chocolates, the cost of packaging is C(x) = x^2 and the
weight is W(x) = x + 2. Thus the cost per unit weight is C(x) / W(x) = x^2 / (x + 2)

Answer 2

`(x^2)/(x+2)`

Explanation:

Given,

The cost of packing a box of chocolates =
`x^2`

Where, x represents the number of chocolate in a box.

Also, the weight of a box of chocolates = (x+2) unit.

Thus,

`\text{The cost of packaging per weight unit}=\frac{\text{The cost of packing a box of chocolates}}{\text{the weight of a chocolate box}}`

`=(x^2)/(x+2)`

Where, x ≥ 3.