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To determine the cost of 3 erasers, we need to find the equation that correctly relates the given cost information to 3 erasers.

We are given a total price of $6.60 for some number of erasers, and we want to find how much 3 erasers cost. Let $ x $ represent the cost of 3 erasers. 

### Evaluating each option:

- **Option A:**
  \[
  \frac{3}{x} = \frac{6.60}{6}
  \]
  This suggests that 3 erasers cost $ x $, and $ 6.60 $ is the total price for 6 erasers. This equation appears valid because it directly connects the cost of 3 erasers ($ x $) with a proportional price for 6 erasers.

- **Option B:**
  \[
  \frac{3}{6} = \frac{6.60}{x}
  \]
  This states that the ratio of 3 erasers to 6 erasers equals the ratio of the total price to the cost of 3 erasers. This is not correct, because it incorrectly places $ x $ (the cost of 3 erasers) in the denominator where it should be in the numerator.

- **Option C:**
  \[
  \frac{x}{3} = \frac{6}{6.60}
  \]
  This equation suggests that $ x $ is the price per eraser, but it incorrectly reverses the relationship between the total price and the number of erasers.

- **Option D:**
  \[
  \frac{x}{3} = \frac{6.60}{6}
  \]
  This looks correct. It states that the cost per eraser is given by $ \frac{6.60}{6} $, and $ x $ is the total cost for 3 erasers. 

### Conclusion:
The correct equation is **Option D**: 
\[
\frac{x}{3} = \frac{6.60}{6}
\]
This equation properly relates the cost of 3 erasers to the given total price.

Would you like more details on how to solve this equation? Here are 5 related questions:

1. How would you solve for $ x $ using this equation?
2. What is the unit rate (cost per eraser) based on this equation?
3. What would the equation look like if the total cost for 10 erasers was given?
4. How do proportional relationships help in solving cost problems like this?
5. Can this method be used to find the cost of any number of erasers if the price per eraser is known?

**Tip:** When dealing with proportional relationships, always ensure that the variables and their corresponding values are placed correctly in the ratio!

Which equation would help determine the cost of 3 erasers?

Learn how to determine the cost of 3 erasers using proportional equations. This math problem covers key concepts in ratios and algebra, suitable for students in Grades 6-8. Use the correct equation to find the cost based on a total price of $6.60.

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