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The problem asks us to find which equation can be used to determine how many hours (\( h \)) it takes for a candle, originally weighing 300 grams, to burn down to 206.4 grams, given that the candle burns 4 grams of wax per hour.

### Analyzing the problem:
1. **Initial weight of the candle:** 300 grams.
2. **Rate of burning:** 4 grams per hour.
3. **Final weight after burning:** 206.4 grams.

The equation to model this situation is:

\[
\text{Initial weight} - \text{Rate of burning} \times h = \text{Final weight}
\]

This becomes:

\[
300 - 4h = 206.4
\]

This equation expresses that after burning for \( h \) hours, the candle’s weight will decrease from 300 grams to 206.4 grams, losing 4 grams per hour.

### Checking the options:
- \( 300 - 4h = 206.4 \) matches the correct equation.

Thus, the correct answer is:
- **Option 3:** \( 300 - 4h = 206.4 \)

Would you like further details or have any other questions?

Here are 5 related questions to expand the concept:
1. How would the equation change if the candle weighed 400 grams initially?
2. How many hours does it take for the candle to burn down to half its initial weight?
3. What if the burning rate was 5 grams per hour instead of 4 grams per hour? How would that affect the equation?
4. What is the candle’s weight after burning for 10 hours?
5. How can we solve for \( h \) in the equation \( 300 - 4h = 206.4 \)?

**Tip:** When modeling word problems with linear relationships, always translate the changes (like rates of burning) into subtractions or additions in your equation.

A candle weighs 300 grams. Each hour the candle is lit, it burns 4 grams of its wax. Let h be the number of hours the candle burns. Which equation can be used to determine the number of hours it takes for the candle to weigh 206.4 grams?

Solve the problem of how many hours it takes for a candle, originally weighing 300 grams and burning at a rate of 4 grams per hour, to reach 206.4 grams. Learn how to use linear equations and algebra to model real-world situations.

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