Question

a hot - air balloon is flying at an altitude of it rises at a constant rate. the altitude of the balloon is it rises.
describe the input and output of the function.
input (x - value): number of minutes
output (y - value): altitude of the balloon
describe the rate of change of the function.
the balloons altitude over time.
the rate of change is? increases decreases

Explanation:

Step1: Identify Input/Output

Input (x - value) is the independent variable, here it's the number of minutes (time). Output (y - value) is the dependent variable, the altitude of the balloon (height).

Step2: Analyze Rate of Change

From the graph, at 0 min: 150 ft, 1 min: 550 ft, 2 min: 950 ft, etc. The change in altitude per minute: 550 - 150 = 400, 950 - 550 = 400. So altitude increases over time, rate of change is positive (increases).

Answer:

Input (x - value): number of minutes
Output (y - value): altitude of the balloon
The rate of change is: Increases