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n200080 [17]
2 years ago
7

Review the table showing wind speed, y, in miles per hour, measured x hours after midnight.

Mathematics
1 answer:
hodyreva [135]2 years ago
8 0

The trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

<h3>Trigonometric function that models the data</h3>

The trigonometric function that best models the data is determined as follows;

y = 1.87sin(-0.29x + 4.79) + 6.13

Use the above equation to check if its gives you values in the table;

<h3>when x = 1</h3>

y = 1.87sin(-0.29 x 1  + 4.79) + 6.13

y = 1.87sin(4.5 rad) + 6.13

y = 4.3

<h3>when x = 2</h3>

y = 1.87sin(-0.29 x 2  + 4.79) + 6.13

y = 1.87sin(4.21 rad) + 6.13

y = 4.49

<h3>when x = 4</h3>

y = 1.87sin(-0.29 x 4  + 4.79) + 6.13

y = 1.87sin(3.63 rad) + 6.13

y = 5.2

<h3>when x = 7</h3>

y = 1.87sin(-0.29 x 7  + 4.79) + 6.13

y = 1.87sin(2.76 rad) + 6.13

y = 6.8

<h3>when x = 9</h3>

y = 1.87sin(-0.29 x 9  + 4.79) + 6.13

y = 1.87sin(2.18 rad) + 6.13

y =7.7

<h3>when x = 10</h3>

y = 1.87sin(-0.29 x 10  + 4.79) + 6.13

y = 1.87sin(1.89 rad) + 6.13

y = 7.9

<h3>when x = 13</h3>

y = 1.87sin(-0.29 x 13  + 4.79) + 6.13

y = 1.87sin(1.02 rad) + 6.13

y = 7.72

<h3>when x = 17</h3>

y = 1.87sin(-0.29 x 17  + 4.79) + 6.13

y = 1.87sin(-0.14 rad) + 6.13

y = 5.9

<h3>when x = 20</h3>

y = 1.87sin(-0.29 x 20  + 4.79) + 6.13

y = 1.87sin(-1.01 rad) + 6.13

y = 4.6

Thus, the trigonometric function that best models the data is determined as y = 1.87sin(–0.29x + 4.79) + 6.13.

Learn more about trigonometry functions here: brainly.com/question/1143565

#SPJ1

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