Question
Suppose there is a1.3F drop in temperature for every thousand feet that an airplane climbs into the sky the temperature on the ground is -2.8F write a multiplication equation to represent the change in temperature after the plane ascends 10,000 feet
Answers
GPT-4o mini
To calculate the change in temperature as the airplane ascends 10,000 feet, you can set up the equation as follows:
1. **Change in temperature per thousand feet**: -1.3°F (since the temperature drops).
2. **Total altitude gain**: 10,000 feet.
First, since the change in temperature is given per thousand feet, we can determine how many thousands of feet are in 10,000 feet:
\[
\frac{10,000 \text{ feet}}{1,000 \text{ feet}} = 10
\]
Now, we can represent the change in temperature with the multiplication equation:
\[
\text{Change in temperature} = -1.3 \, \text{F} \times 10
\]
Now, calculate the total change in temperature:
\[
\text{Change in temperature} = -1.3 \, \text{F} \times 10 = -13 \, \text{F}
\]
So, after the plane ascends 10,000 feet, the change in temperature will be -13°F.
If you want to find the new temperature at that altitude, you would subtract this change from the original ground temperature:
\[
\text{New temperature} = -2.8 \, \text{F} - 13 \, \text{F} = -15.8 \, \text{F}
\]
In summary, the multiplication equation is:
\[
\text{Change in temperature} = -1.3 \times 10
\]
1. **Change in temperature per thousand feet**: -1.3°F (since the temperature drops).
2. **Total altitude gain**: 10,000 feet.
First, since the change in temperature is given per thousand feet, we can determine how many thousands of feet are in 10,000 feet:
\[
\frac{10,000 \text{ feet}}{1,000 \text{ feet}} = 10
\]
Now, we can represent the change in temperature with the multiplication equation:
\[
\text{Change in temperature} = -1.3 \, \text{F} \times 10
\]
Now, calculate the total change in temperature:
\[
\text{Change in temperature} = -1.3 \, \text{F} \times 10 = -13 \, \text{F}
\]
So, after the plane ascends 10,000 feet, the change in temperature will be -13°F.
If you want to find the new temperature at that altitude, you would subtract this change from the original ground temperature:
\[
\text{New temperature} = -2.8 \, \text{F} - 13 \, \text{F} = -15.8 \, \text{F}
\]
In summary, the multiplication equation is:
\[
\text{Change in temperature} = -1.3 \times 10
\]
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