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Let's solve this step by step.

The problem states:

- There is a **1.4°F drop in temperature** for every **1,000 feet** that the plane climbs.
- The initial temperature on the ground is **46.8°F**.
- The altitude the plane reaches is **3,000 feet**.

We can set up the following equation to calculate the total temperature drop:
\[
\text{Total temperature drop} = \frac{\text{Altitude in feet}}{1,000} \times 1.4
\]
Substitute the altitude of **3,000 feet**:
\[
\text{Total temperature drop} = \frac{3,000}{1,000} \times 1.4 = 3 \times 1.4 = 4.2°F
\]

Now, subtract the temperature drop from the initial ground temperature:
\[
\text{New temperature} = 46.8°F - 4.2°F = 42.6°F
\]

Thus, the temperature at 3,000 feet will be **42.6°F**.

Would you like more details or have any other questions?

Here are 5 related questions to think about:
1. How would the temperature change if the altitude were doubled to 6,000 feet?
2. What would the temperature be if the plane climbed to 1,500 feet instead?
3. How does the temperature drop rate compare to other temperature change scenarios?
4. What happens to the temperature if the plane climbs to 10,000 feet?
5. Could the temperature ever become negative using this model?

**Tip:** Always verify units in word problems to ensure consistency in your calculations!

Suppose there is a 1.4°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 46.8°F, what will be the temperature when the plane reaches an altitude of 3,000 ft?

Learn how to solve a problem involving temperature change with altitude. Given a 1.4°F drop per thousand feet and an initial temperature of 46.8°F, calculate the temperature at 3,000 feet. Suitable for Grades 6-8 students, this problem covers linear equations and temperature conversion.

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