Questions: The blue curve on the following graph shows the height of an airplane over 10 minutes of flight. The two black lines are tangent to the curve at the points indicated by A and B. The slope of the blue curve measures the plane's . The unit of measurement for the slope of the curve is At point A, the slope of the curve is , which means that the plane is at a rate of Calculating the slope, pay extra attention to the units of analysis.

The blue curve on the following graph shows the height of an airplane over 10 minutes of flight. The two black lines are tangent to the curve at the points indicated by A and B. The slope of the blue curve measures the plane's . The unit of measurement for the slope of the curve is At point A, the slope of the curve is , which means that the plane is at a rate of Calculating the slope, pay extra attention to the units of analysis.
Transcript text: The blue curve on the following graph shows the height of an airplane over 10 minutes of flight. The two black lines are tangent to the curve at the points indicated by A and B . The slope of the blue curve measures the plane's $\qquad$ . The unit of measurement for the slope of the curve is $\qquad$ At point $A$, the slope of the curve is $\qquad$ , which means that the plane is $\qquad$ at a rate of $\qquad$ Calculating the slope, pay extra attention to the units of analysis.)
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Solution

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Solution Steps

Step 1: Identify the slope of the blue curve

The slope of the blue curve measures the plane's rate of ascent.

Step 2: Determine the unit of measurement for the slope

The unit of measurement for the slope of the curve is feet per minute.

Step 3: Calculate the slope at point A

At point A, the slope of the curve is 10,000 feet / 2 minutes = 5,000 feet per minute, which means that the plane is ascending at a rate of 5,000 feet per minute.

Final Answer

  1. The slope of the blue curve measures the plane's rate of ascent.
  2. The unit of measurement for the slope of the curve is feet per minute.
  3. At point A, the slope of the curve is 5,000 feet per minute, which means that the plane is ascending at a rate of 5,000 feet per minute.
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