Question

problem 9
this graph shows the height, in feet, that a butterfly is flying above the ground over time.
at what interval is the butterfly’s rate of change 0 feet per second?
(select all that apply.)
between 0 and 2 seconds
between 2 and 6 seconds
between 6 and 8 seconds
between 9 and 11 seconds
between 11 and 1? seconds

Explanation:

A rate of change of 0 means the height stays constant (horizontal line on the graph).

1. Between 2 and 6 seconds: The graph is horizontal, height does not change.
2. Between 10 and 12 seconds: The graph is horizontal, height does not change.

(Note: The option "Between 0 and 2 seconds" has an upward sloping line, so rate of change is positive; "Between 2 and 6 seconds" is flat; "Between 6 and 8 seconds" is upward sloping; "Between 8 and 10 seconds" is downward sloping; "Between 10 and 12 seconds" is flat.)

Answer:

Between 2 and 6 seconds
Between 10 and 12 seconds