Answer:
Mel was descending at a faster average rate and the rate of change of Mel is -5 feet/ second.
Step-by-step explanation:
It is function passes through two points, then the average rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Let x be the time in seconds and y be the height in feet.
After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. It means the function have two ordered pairs (2,50) and (5,35).
The average rate of change of Mel is
[tex]m=\dfrac{35-50}{5-2}\Rightarrow \dfrac{-15}{3}=-5[/tex]
It means Mel was descending at a rate of 5 feet per second.
After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. It means the function have two ordered pairs (1,60) and (4,50).
The average rate of change of Victor is
[tex]m=\dfrac{50-60}{4-1}\Rightarrow \dfrac{-10}{3}=-3.33...[/tex]
It means Victor was descending at a rate of 10/3 feet per second.
5>3.33..
Therefore, Mel was descending at a faster average rate and the rate of change of Mel is -5 feet/ second.
Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.
Since after 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air, while after 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air, to determine who was descending at a faster average rate and what is Mel's rate of change, the following calculations must be performed:
You must subtract the difference between the two times for each person, and check which is the highest rate between the two.
Therefore, Mel was descending at 5 feet per second and Victor was descending at 3.33 feet per second, thus Mel was descending faster.
Learn more in https://brainly.com/question/108740
