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You are ordering items from a catalog that offers gift wrapping and shipping , If there is a 14.40 shipping charge for the entire order and a $2.00 charge for gift wrapping up to 19 items, which function represents the total charge of ordering x items.

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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.

User Charles Madere
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