Pregunta
2. Draw a number line diagram and write an expression to represent this situation: "On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius."
Ask by Gough Owen. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
Draw a number line with 16°C on the left and 29°C on the right. The temperature dropped by 13°C.
Solución
Certainly! Let's break down the situation with a number line diagram and an appropriate mathematical expression.
### Number Line Diagram
Since I can't draw directly, I'll describe how to create the number line:
1. **Draw a horizontal line** to represent the temperature scale.
2. **Mark two points** on the line:
- **16°C** (representing the temperature at sunset)
- **29°C** (representing the temperature at lunchtime)
3. **Label the points** accordingly:
- Place **29°C** on the right side to indicate the higher temperature at lunchtime.
- Place **16°C** on the left side to show the lower temperature at sunset.
4. **Indicate the drop** in temperature with an arrow or a line segment pointing from **29°C** to **16°C**.
**Visual Representation:**
```
Temperature (°C)
16 ──────────•────────────────────────•────────── 29
Sunset Lunchtime
```
### Mathematical Expression
To represent the drop in temperature mathematically:
1. **Subtract the sunset temperature from the lunchtime temperature** to find the decrease.
\[
\text{Temperature Drop} = \text{Lunchtime Temperature} - \text{Sunset Temperature}
\]
2. **Plug in the given values:**
\[
\text{Temperature Drop} = 29\,°\text{C} - 16\,°\text{C} = 13\,°\text{C}
\]
**Final Expression:**
\[
29\,°\text{C} - 16\,°\text{C} = 13\,°\text{C}
\]
This expression shows that the temperature dropped by **13 degrees Celsius** from lunchtime to sunset.
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The Deep Dive
To visualize the situation, imagine a simple number line where 29 degrees Celsius is marked to the left, and 16 degrees Celsius is marked to the right. You can draw an arrow indicating the drop in temperature, starting from 29 and pointing downwards towards 16. The expression to represent this temperature change can be written as: 29 - 16 = 13. This means that the temperature dropped by 13 degrees Celsius from lunchtime to sunset!
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