Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seco
2 answers:
Answer:
Mel is descending at a quicker average speed, with a rate of change of -5 feet per second.
Step-by-step explanation:
When a function passes through two points, the average rate of change can be found using
Let x represent time in seconds and y represent height in feet.
After 2 seconds, Mel was at a height of 50 feet, and after 5 seconds, she was at 35 feet. This indicates the function has the ordered pairs (2,50) and (5,35).
To find Mel's average rate of change, we use
This suggests Mel's descent rate is 5 feet per second.
After 1 second, Victor was at 60 feet, and at 4 seconds, he was at 50 feet. Therefore, the function has the ordered pairs (1,60) and (4,50).The average rate of change for Victor is5 is greater than 3.33, thereby confirming that Mel descends at a faster average rate and her rate of change is -5 feet per second.
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Answer:
(a)
(b)
Step-by-step explanation:
Calculate for each term.
For Question a
With x = 3, y = 4, and dx/dt = 5.
For Question b
Given x = 4, y = 3, and dx/dt = -5.