Question

toni is testing her new model airplane. she starts its descent at an elevation of 1,200 feet. it descends at a constant rate of 200 feet per minute. now, write an equation that represents this line. you can think of the equation as the elevation equals the starting elevation plus the change in elevation as time passes. use e to represent the elevation, and t to represent the time since the plane started to descend. the slope is -200. the vertical intercept is 1,200. \\(\square = \square + \square\\) elevation = starting elevation + change in elevation as time passes

Explanation:

Step1: Identify starting elevation

The starting elevation is given as 1,200 feet, so this is the vertical intercept.

Step2: Define change in elevation

The plane descends 200 feet per minute, so the change in elevation over time \( t \) is \( -200t \) (negative because elevation decreases).

Step3: Build the elevation equation

Elevation \( e \) equals starting elevation plus the change in elevation over time.

Answer:

\( e = 1200 + (-200t) \) or simplified as \( e = 1200 - 200t \)