Answer:
To represent the total charge of ordering x items, we can use a piecewise function that considers the shipping charge and the gift wrapping charge.
Let's break it down:
1. If x is less than or equal to 19:
- The gift wrapping charge is a flat fee of $2.00.
- The shipping charge is $14.40 for the entire order.
- The total charge for ordering x items would be $2.00 (gift wrapping) + $14.40 (shipping).
2. If x is greater than 19:
- The gift wrapping charge is a flat fee of $2.00.
- The shipping charge remains $14.40 for the entire order.
- However, the gift wrapping charge of $2.00 only applies to the first 19 items.
- For any additional items beyond 19, there is no extra gift wrapping charge.
- The total charge for ordering x items would be $2.00 (gift wrapping) + $14.40 (shipping) + $0.00 (additional gift wrapping charge).
Therefore, the piecewise function representing the total charge of ordering x items would be:
f(x) =
{
$2.00 + $14.40, if x <= 19,
$2.00 + $14.40 + $0.00, if x > 19
}
I hope this clarifies the function for you! If you have any further questions, feel free to ask.