Mathematics, 29.07.2019 08:50 gonsalex6688

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

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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.

Mel = (50 - 35) / (5 - 2) = X 15/3 = X 5 = X Victor = (60 - 50) / (4 - 1) = X 10/3 = X 3.33 = X

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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Answer from: kamayablancowa

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

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{35-50}{5-2}\Rightarrow \dfrac{-15}{3}=-5$

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

$m=\dfrac{50-60}{4-1}\Rightarrow \dfrac{-10}{3}=-3.33...$

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 slides down waterslide a, and victor slides down waterslide b. after 2 seconds, mel was 50 feet

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Answer from: Quest

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Mel slides down waterslide a, and victor slides down waterslide b. after 2 seconds, mel was 50 feet...

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