Question

right after takeoff, a hot air balloon ascends at a constant rate of 400 feet per minute. what is the slope of this line? in other words, how many feet does the balloons elevation increase per minute? the slope is \boxed{}

Explanation:

Step1: Define slope meaning

Slope = $\frac{\text{Change in elevation}}{\text{Change in time}}$

Step2: Use given ascent rate

The balloon ascends 400 feet per minute, so this rate equals the slope. We can verify with graph points: e.g., at $t=1$ min, elevation = 400 ft; at $t=2$ min, elevation = 800 ft.
Slope = $\frac{800 - 400}{2 - 1} = 400$

Answer:

400