The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a slope of -0.4. See the figure below. Suppose that the height of the candle after 17 hours is 19.2 centimeters. What was the height of the candle after 13 hours? Candle height (in cm) 19.2 17 Burning time (in hours) centimeters X

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**Candle Height and Burning Time**

The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a slope of -0.4. See the figure below.

Suppose that the height of the candle after 17 hours is 19.2 centimeters. What was the height of the candle after 13 hours?

**Graph Explanation:**

- **Axes:** The graph has two axes. The vertical axis represents the "Candle height (in cm)" and the horizontal axis represents "Burning time (in hours)."
- **Data Point:** A data point indicates that after 17 hours, the candle's height is 19.2 cm. This is marked by a horizontal dashed line from the 19.2 cm mark on the vertical axis and a vertical dashed line from the 17-hour mark on the horizontal axis.
- **Line:** A downward-sloping line connects the data point with the origin indicating the negative slope of the function.

**Interactive Elements:**

- A text input box allows for entering the estimated height of the candle after 13 hours, to find the height based on the linear function.
- "Check" and "Explanation" buttons might be present to confirm the answer and provide additional details or solutions.

**Note:** The slope of -0.4 suggests that for each additional hour the candle burns, the height decreases by 0.4 cm.
Transcribed Image Text:**Candle Height and Burning Time** The height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. When graphed, the function gives a slope of -0.4. See the figure below. Suppose that the height of the candle after 17 hours is 19.2 centimeters. What was the height of the candle after 13 hours? **Graph Explanation:** - **Axes:** The graph has two axes. The vertical axis represents the "Candle height (in cm)" and the horizontal axis represents "Burning time (in hours)." - **Data Point:** A data point indicates that after 17 hours, the candle's height is 19.2 cm. This is marked by a horizontal dashed line from the 19.2 cm mark on the vertical axis and a vertical dashed line from the 17-hour mark on the horizontal axis. - **Line:** A downward-sloping line connects the data point with the origin indicating the negative slope of the function. **Interactive Elements:** - A text input box allows for entering the estimated height of the candle after 13 hours, to find the height based on the linear function. - "Check" and "Explanation" buttons might be present to confirm the answer and provide additional details or solutions. **Note:** The slope of -0.4 suggests that for each additional hour the candle burns, the height decreases by 0.4 cm.
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