Pauley graphs the change in height of a hot air balloon over time. He sees that the function appears to increase quickly at first, then levels out, then decrease slowly as time passes. Which statement best describes this function?(1 point) Responses It is linear because there is both an independent and dependent variable. It is linear because there is both an independent and dependent variable. It is nonlinear because linear functions increase or decrease at the same rate. It is nonlinear because linear functions increase or decrease at the same rate. It is linear because the graph decreases over time. It is linear because the graph decreases over time. It is nonlinear because linear functions are always increasing. It is nonlinear because linear functions are always increasing.

1 answer

The best statement to describe the function that Pauley graphed is: "It is nonlinear because linear functions increase or decrease at the same rate."

This statement is accurate because the described behavior of the hot air balloon's height indicates that the rate of change is not constant; it increases quickly at first, levels out, and then decreases slowly. This non-constant rate of change is characteristic of nonlinear functions.