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The image displays a question about a shipping cost formula for book orders, with the formula provided as:

\[
C = 8.75p + 53
\]

Where:
- $ C $ is the shipping cost.
- $ p $ is the weight of the books in pounds.
- The handling fee is a flat $53 for every order.

The task is to determine which of the given statements is **not true** about the cost. Here are the options:

1. The cost of the handling fee is unrelated to the weight of the books.
2. The cost of mailing 10 pounds of books is twice the cost for 5 pounds of books.
3. The cost of mailing books increases by $8.75 for each additional pound of books.
4. The total cost of shipping books can be found by using the weight of the order.

Let me analyze these options based on the given formula:

1. **True**: The handling fee is constant at $53, independent of weight.
2. **False**: The cost for 10 pounds wouldn't be exactly double the cost for 5 pounds because the handling fee is constant.
3. **True**: The coefficient of $ p $ (8.75) suggests that for each additional pound, the cost increases by $8.75.
4. **True**: The total cost is calculated using the weight $ p $ in the formula.

Thus, the second statement is not true.

Would you like more details, or have any questions? Here are some related questions:

1. How does changing the weight impact the total shipping cost?
2. Can you explain why statement 2 is incorrect in more detail?
3. What happens if there is no handling fee in the formula?
4. How would the formula change if the handling fee varied by weight?
5. Can we graph the relationship between weight and shipping cost?

**Tip**: Always check whether a flat fee affects how the total cost scales with weight!

The situation below shows the formula for calculating the shipping cost, C, for book orders, where p is the weight of the books in pounds. There is a $53 handling fee on every order. C = 8.75p + 53. Which statement is not true about the cost?

Explore the shipping cost formula C = 8.75p + 53, where C is the total shipping cost and p is the weight of books in pounds. Analyze the formula and determine which statement is incorrect about the cost. This problem helps students understand cost breakdown and linear equations, suitable for Grades 6-8.

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