To calculate the change in temperature as the airplane ascends 10,000 feet, you can set up the equation as follows:
- Change in temperature per thousand feet: -1.3°F (since the temperature drops).
- 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:
\[ \text{Change in temperature} = -1.3 \times 10 \]