Math Problem Statement
If a burning candle loses 1.3 inches of length per hour, how will the candle’s length change in a span of 3 hours? 4.5 hours?
Solution
To solve this, we can calculate the length lost by the candle over time by multiplying the rate of loss (1.3 inches per hour) by the number of hours.
- For 3 hours:
So, in 3 hours, the candle loses 3.9 inches.
- For 4.5 hours:
So, in 4.5 hours, the candle loses 5.85 inches.
Would you like further details on how this calculation works? Or would you like to explore any other related concepts?
Here are some related questions:
- What happens to the rate of length loss if the candle burns faster or slower than 1.3 inches per hour?
- How would you calculate the remaining length of the candle after a certain period?
- What real-world factors could affect the rate at which the candle burns?
- If a candle starts with 12 inches of length, how long would it last until it's completely burned?
- How could you model the burning process using a linear equation?
Tip: When dealing with rates like this, multiplying the rate of change by the time interval gives you the total change in length (or any other quantity).
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Math Problem Analysis
Mathematical Concepts
Rate of Change
Linear Functions
Multiplication
Formulas
Length lost = Rate of loss × Time
Theorems
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Suitable Grade Level
Grades 6-8