Question

right after takeoff, a hot air balloon ascends at a constant rate of 400 feet per minute. write an equation that represents this line. you can think of this as the elevation equals the starting elevation plus the change in elevation as the time passes. use t to represent the time since takeoff in minutes and e to represent the balloon’s elevation in feet. the slope is 400. the vertical intercept is 0. \\(\square = \square + \square\\) elevation = starting elevation + change in elevation

Explanation:

Step1: Define starting elevation

The balloon starts at ground level, so starting elevation = $0$.

Step2: Define change in elevation

Change in elevation is rate × time: $400t$.

Step3: Assemble elevation equation

Elevation = starting elevation + change in elevation.
$e = 0 + 400t$

Answer:

$e = 0 + 400t$ (or simplified to $e = 400t$)