A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of *x*, the weight in pounds?

*f*(*x*) = 2.25*x* + 5

*f*(*x*) = 5*x* + 2.25

*f*(*x*) = 2.25*x* − 5

*f*(*x*) = 5*x* − 2.25

The shipping cost consists of a flat packing fee of $5 and an additional cost based on the weight of the box at $2.25 per pound.

The total cost $ f(x) $ as a function of the weight $ x $ in pounds can be represented by the equation:

\[
f(x) = 2.25x + 5
\]

So, the correct equation is:

**$ f(x) = 2.25x + 5 $**

Would you like further details or have any other questions?

Here are five related questions to explore further:
1. How would the equation change if the flat packing fee increased to $7?
2. What does the slope represent in the context of this problem?
3. How would you graph the function $ f(x) = 2.25x + 5 $?
4. What would be the shipping cost for a box weighing 10 pounds?
5. How would the function change if the per-pound cost increased to $3?

**Tip:** When interpreting word problems, it's helpful to identify fixed and variable costs separately, then translate these into a mathematical equation.

Explore how to calculate shipping costs based on weight using linear functions. Learn about the flat packing fee and per-pound cost in this math problem. Suitable for Grades 7-9.

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