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A scientist is studying the motion of waves by measuring the distance between the crests and troughs of waves in a particular area. He set up a
series of buoys at equal intervals, and attached a depth detector to each buoy.
After gathering data, the scientist modeled the positions of the buoys at a specific instance with the
given function, where x is the horizontal
distance, in feet, from the first buoy and 1() is the depth of the water, in feet, at that location.
f(3) = 2cos(61) + 13
Select the correct representation of the buoy positions modeled by function f.

Select the correct answer A scientist is studying the motion of waves by measuring the distance between the crests and troughs of waves in a particular area He class=

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Answer:

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Step-by-step explanation:

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The correct representation of the buoy positions is modeled by function f shown in picture (B) option (B) is correct.

What is cos function?

It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.

We have:

A scientist studying the motion of waves by measuring the distance between the crests and troughs of waves in a particular area.

The equation he set up:

f(x) = 2cos(πx/8) + 13

As we know the cos function has a maximum value is 1 and a minimum value is -1

The maximum value:

f(0) = 2(1) + 13

f(0) = 2 + 13

f(0) = 15

The minimum value:

f(8) = 2(-1) + 13

f(8) = -2 + 13

f(8) = 11

Thus, the correct representation of the buoy positions is modeled by function f shown in picture (B) option (B) is correct.

Learn more about the cos function here:

https://brainly.com/question/14397255

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