Mel slides down waterslide a, and victor slides down waterslide b. after 2 seconds, mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. after 1 second, victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. who was descending at a faster average rate? what is mels rate of change

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.

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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

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

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

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.