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.

  1. For 3 hours:

Length lost=1.3inches/hour×3hours=3.9inches\text{Length lost} = 1.3 \, \text{inches/hour} \times 3 \, \text{hours} = 3.9 \, \text{inches}

So, in 3 hours, the candle loses 3.9 inches.

  1. For 4.5 hours:

Length lost=1.3inches/hour×4.5hours=5.85inches\text{Length lost} = 1.3 \, \text{inches/hour} \times 4.5 \, \text{hours} = 5.85 \, \text{inches}

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:

  1. What happens to the rate of length loss if the candle burns faster or slower than 1.3 inches per hour?
  2. How would you calculate the remaining length of the candle after a certain period?
  3. What real-world factors could affect the rate at which the candle burns?
  4. If a candle starts with 12 inches of length, how long would it last until it's completely burned?
  5. 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