MATHEMATICS HIGH SCHOOL

In Bear Creek Bay in July, high tide is at 1:00 pm. The water level at high tide is 7 feet at high tide and 1 foot at low tide. Assuming the next high tide is exactly 12 hours later and the height of the water can be modeled by a cosine curve, find an equation for Bear Creek Bay's water level in July as a function of time (t).

Answers

Answer 1
Answer:

Final answer:

The equation for Bear Creek Bay's water level in July as a function of time (t) is h = 3*cos(2*pi*t/12) + 4.

Explanation:

To find an equation for Bear Creek Bay's water level in July as a function of time (t), we can use a cosine curve since the height of the water can be modeled by it.

Based on the given information, we know that the water level is 7 feet at high tide and 1 foot at low tide. We also know that the next high tide is exactly 12 hours later.

Using the cosine function, where the amplitude (A) is (7 - 1)/2 = 3 and the period (T) is 12 hours, the equation for Bear Creek Bay's water level (h) as a function of time (t) is:

h = 3*cos(2*pi*t/12) + 4

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Answers

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Answer:

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Step-by-step explanation:

3 oranges = $1.35

(1)/(3) :(y)/(1.35)

y × 3 = 1 × 1.35

3y = 1.35

3y ÷ 3 = 1.35 ÷ 3

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y = $0.45

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