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?

	
206.4−4h=300

	
206.4h+4=300

	
300−4h=206.4

	
300h−4=206.4

To determine the number of hours \( h \) it takes for the candle to weigh 206.4 grams, we can set up an equation based on the given information:

1. The initial weight of the candle is 300 grams.
2. The candle burns 4 grams of wax each hour.

After burning for \( h \) hours, the candle's weight will be reduced by \( 4h \) grams. Therefore, the weight of the candle after burning for \( h \) hours will be:

\[
\text{Remaining weight} = 300 - 4h
\]

We are given that the remaining weight is 206.4 grams, so we set up the equation:

\[
300 - 4h = 206.4
\]

This matches the third option provided:

**\( 300 - 4h = 206.4 \)**

Would you like more details or have any questions? 

Here are some related questions for further exploration:

1. How would you solve for \( h \) from the equation \( 300 - 4h = 206.4 \)?
2. What is the weight of the candle after 5 hours of burning?
3. How many hours will it take for the candle to burn completely?
4. What equation would you use if the candle burned at a different rate, say 5 grams per hour?
5. How would the equation change if the initial weight of the candle was different?

**Tip:** Always check the units of measurement and ensure they match throughout the equation to avoid mistakes in solving problems.

Learn how to solve a linear equation involving candle weight. Understand the relationship between burning rate and remaining weight over time. Suitable for Grades 7-9 students learning about linear equations.

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