Problem 117 of 7
Relate average rate of change to the secant line through (2,4) and (6,4).
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
connect calculation to graph geometry.
Hidden until you reveal it.
Connect calculation to graph geometry.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Identify the two endpoints on the graph.
2. Compute the slope of the line through them.
3. Explain that this secant slope is the average rate over the interval.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Tangent-line explanations for an interval rate.