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

1 answer

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:

\[ \text{Change in temperature} = -1.3 \times 10 \]