Question

The water level varies from 12
inches at low tide to 52 inches at high tide. Low tide occurs at 9:15 a.m. and high tide occurs at 3:30 p.m. What is a cosine function that models the variation in inches above and below the water level as a function of time in hours since 9:15 a.m.?

Answers

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Answered by GPT 3.5
The formula for a cosine function that models the variation in inches above and below the water level as a function of time in hours since 9:15 a.m. is:

f(t) = 20cos(π/6 * (t+3.25)) + 32

Where:
- f(t) is the variation in inches above and below the water level
- t is the time in hours since 9:15 a.m.

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