Q42. - Algebra 2

Question

Writing in MATH Answer the question that was posed at the beginning of the lesson.

Why can you predict the behavior of tides?

Include the following in your answer:

• an explanation of why certain tidal characteristics follow the patterns seen in

the graph of the sine function, and

• a description of how to determine the amplitude of a function using the

maximum and minimum values.

Step-by-Step Solution

Answer

• Tides follow the periodic motion as graph.
• Subtract the minimum value from maximum and divide the difference by two.

Step 1. Given information

A periodic motion is given in the tides

Step 2. Concept used

Tide will follow the periodic motion. Because in every ten seconds, he moves maximum to minimum.

We can find the amplitude by subtracting the value of minimum from maximum and divide the answer by two.

Step 3. Calculation

The graph we have found in the previous questions is-

The tides will follow the periodic motion. Therefore the shape of tides is similar to the graph.

We can find the amplitude by subtracting the value of minimum from maximum and divide the difference by two.