Question

juanita is testing her new model airplane. she starts its descent at an elevation of 2,500 feet. it descends at a constant rate of 500 feet per minute. you just found that the plane lands 5 minutes after it starts to descend. what point on the graph shows this? the plane lands 5 minutes after it starts to descend. we can see this at the point (\square, \square)

Explanation:

Step1: Identify variables

The x - axis represents time \( t \) (in minutes) since the plane started descent, and the y - axis represents elevation \( e \) (in feet). We know the time when the plane lands is \( t = 5 \) minutes.

Step2: Find the elevation at landing

The plane starts at an elevation of 2500 feet and descends at a rate of 500 feet per minute. The equation for elevation as a function of time is \( e=2500 - 500t \). When \( t = 5 \), we substitute \( t \) into the equation: \( e=2500-500\times5=2500 - 2500=0 \). So the point is \( (5,0) \).

Answer:

\( (5,0) \)