Each of the 10 students in the baking club made 2 chocolate cakes for a fundraiser. They all used the same recipe, using `x` cups of flour in total.

Write an expression that represents the amount of flour required for one cake. Use slope intercept form

We are given that:

- Each of the 10 students made 2 chocolate cakes.
- The total amount of flour used for all cakes is \( x \) cups.
- The goal is to find the amount of flour used for one cake.

Let's break it down:

1. **Total number of cakes**: 
   Each of the 10 students made 2 cakes, so the total number of cakes is:
   \[
   10 \times 2 = 20 \text{ cakes}
   \]

2. **Amount of flour per cake**:
   Since the total amount of flour for all cakes is \( x \) cups, the amount of flour required for one cake is:
   \[
   \frac{x}{20} \text{ cups per cake}
   \]

### Expression in Slope-Intercept Form
We want to express the amount of flour per cake in slope-intercept form, which is typically written as:
\[
y = mx + b
\]
In this case, \( y \) represents the flour per cake, and \( x \) is already given as the total amount of flour.

Since the relationship is directly proportional, we do not have a constant term (\( b = 0 \)). The slope \( m \) represents the fraction of flour per cake. Thus, the equation is:
\[
y = \frac{1}{20}x
\]

This equation represents the amount of flour required for one cake based on the total amount of flour \( x \).

Would you like further details or have any questions?

### Related Questions:
1. If the total amount of flour used was 100 cups, how much flour was used per cake?
2. What is the interpretation of the slope \( \frac{1}{20} \) in this context?
3. How would the expression change if each student made 3 cakes instead of 2?
4. How many cups of flour would be used if the total number of cakes was 50 and each cake required \( \frac{x}{20} \) cups?
5. If one cake requires 2 cups of flour, how much total flour is required for all 20 cakes?

### Tip:
Always check units in word problems to ensure the expression represents the correct quantity.

Understand how to calculate the amount of flour required for one cake using total flour cups. Learn the proportional relationship and use of slope-intercept form in mathematics. Suitable for students in Grades 6-8.

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