At a bakery, there is a proportional relationship between the number of cups of flour and the number of cups of sugar the bakery uses.

In this situation, the proportional relationship between the number of cups of flour (\(F\)) and the number of cups of sugar (\(S\)) can be written as:

\[
F = kS
\]

Where:
- \(F\) is the number of cups of flour,
- \(S\) is the number of cups of sugar,
- \(k\) is the constant of proportionality.

This means that if you know the amount of either flour or sugar, you can determine the other using the constant \(k\). For example:
- If the bakery uses 4 cups of flour for every 1 cup of sugar, the constant \(k = 4\).
  
Thus, the relationship becomes:

\[
F = 4S
\]

This is how you can calculate either flour or sugar needed for any given amount, provided the proportionality constant is known.

Do you have the value of \(k\) or any specific amounts of flour and sugar? I can help you calculate further.

Would you like more details or have any questions?

Here are 5 questions to consider:
1. What is the ratio of flour to sugar in this bakery’s recipe?
2. How does the proportionality constant change if you adjust the ingredients?
3. If the bakery uses 8 cups of flour, how many cups of sugar are needed?
4. How can you express this relationship graphically?
5. What happens if the bakery scales the recipe by a factor of 2?

**Tip:** Proportions remain constant even when scaling recipes. Use the ratio to adjust quantities easily.

Learn how to understand and calculate proportional relationships between the number of cups of flour and sugar used in a bakery. This example illustrates the concept of proportionality, represented by the formula F = kS, where F is flour, S is sugar, and k is the constant of proportionality. Suitable for students in Grades 6-8.

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