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The data represent the height of the tide on a seawall measured at different times, with 0 being the height at noon on Monday. Which function models the data?

A. [tex] y = -5.5\sin(-0.5x + 35.8) + 13.1 [/tex]
B. [tex] y = -0.5\sin(-5.5x + 35.8) + 13.1 [/tex]
C. [tex] y = -5.5\sin(-0.5x + 13.1) + 35.8 [/tex]
D. [tex] y = -0.5\sin(-5.5x + 13.1) + 35.8 [/tex]

Answer :

Final answer:

Without specific data or context, it's difficult to definitively select a tide height function from the listed options. However, the general form of the function can be broken down, with -5.5 and -0.5 potentially representing amplitude and frequency or inverse of the period.

Explanation:

The problem you're having involves interpreting function equations that model data. Without context, it's challenging to define which function correctly models the tide heights. However, we can discuss what each part of the function represents.

The general form for this kind of function is: y = A sin(Bx + C) + D. 'A' controls the amplitude of the wave (which is the distance from the center line to the peak), 'B' affects the period of the wave, 'C' controls the phase shift (left-to-right movement), and 'D' is the vertical shift (up-and-down movement).

Now, looking at your options, the numbers that swiftly stick out are the -5.5 and the -0.5, which could represent the height amplitude ('A') and frequency or inverse of the period ('B'), respectively. More context or actual numerical data is needed to discern a more precise answer.

Learn more about Trigonometric functions here:

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Rewritten by : Barada

Answer:

A

Step-by-step explanation: