https://file.aiquickdraw.com/mathbot/file/1726268094278hz83bg50.jpg

The table in the image shows the number of grapes eaten and the corresponding calories:

| Number of Grapes Eaten (g) | 20  | 40  | 60  | 80  |
|----------------------------|-----|-----|-----|-----|
| Calories (c)               | 40  | 80  | 120 | 160 |

We need to write an equation that represents this relationship between the number of grapes eaten (g) and the calories (c). 

From the table, we can observe that:
- 20 grapes result in 40 calories
- 40 grapes result in 80 calories
- 60 grapes result in 120 calories
- 80 grapes result in 160 calories

This indicates a proportional relationship between the number of grapes and the number of calories. To express this as an equation:

1. The ratio of calories to grapes is constant. We can calculate the rate of calories per grape by dividing calories by the number of grapes:

\[
\frac{40}{20} = 2 \quad \text{calories per grape}
\]

So for every grape eaten, you consume 2 calories.

2. The general equation can be written as:

\[
c = 2g
\]

where:
- \( c \) is the number of calories,
- \( g \) is the number of grapes eaten.

This equation represents the relationship shown in the table.

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. If you eat 50 grapes, how many calories will you consume?
2. How many grapes would you need to eat to consume 300 calories?
3. What is the slope of the line that represents the relationship between grapes eaten and calories?
4. How would the equation change if each grape contained 3 calories instead of 2?
5. Can you plot this equation on a graph with grapes eaten on the x-axis and calories on the y-axis?

**Tip:** When you see a proportional relationship in a table, look for a constant ratio between the variables to form a linear equation.

Write an equation that represents the relationship between the number of grapes eaten (g) and the calories (c), using the given data.

Learn how to write a linear equation to represent the relationship between the number of grapes eaten and the calories consumed. This problem involves algebraic concepts like proportional relationships, and it's suitable for students in Grades 5-7.

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