The altitude of an airplane is changing at a constant rate. The table shows the linear relationship between `y`, the altitude of the airplane in feet, and `x`, the time in minutes. Complete the statement that describes the rate of change of the altitude of the airplane with respect to time.

Answer 1

To describe the rate of change of the altitude of the airplane with respect to time, we would typically calculate the slope of the linear relationship presented in the table. The slope (rate of change) can be found by taking the difference in altitude (y) divided by the difference in time (x) for any two points in the table.

If we denote the altitude as \( y \) and the time as \( x \), the rate of change can be stated as:

"The rate of change of the altitude of the airplane is constant at ___ feet per minute."

To complete the statement, you would need to calculate the specific value by examining the information provided in the table. For example, if the altitude increases from 1,000 feet to 1,500 feet over 5 minutes, the rate of change would be:

\[ \text{Rate of change} = \frac{1500 - 1000}{5 - 0} = \frac{500}{5} = 100 \text{ feet per minute} \]

Thus, the completed statement would be:

"The rate of change of the altitude of the airplane is constant at 100 feet per minute."

Finally, to fill in the blank in your statement, you need to find the specific values from the table you referred to.