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

Which trigonometric function best models this data?

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

Review the table showing wind speed y in miles per hour measured x hours after midnight Which trigonometric function best models this data y 187sin029x 613 479 class=

Respuesta :

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

Trigonometric function that models the data

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;

when x = 1

y = 1.87sin(-0.29 x 1  + 4.79) + 6.13

y = 1.87sin(4.5 rad) + 6.13

y = 4.3

when x = 2

y = 1.87sin(-0.29 x 2  + 4.79) + 6.13

y = 1.87sin(4.21 rad) + 6.13

y = 4.49

when x = 4

y = 1.87sin(-0.29 x 4  + 4.79) + 6.13

y = 1.87sin(3.63 rad) + 6.13

y = 5.2

when x = 7

y = 1.87sin(-0.29 x 7  + 4.79) + 6.13

y = 1.87sin(2.76 rad) + 6.13

y = 6.8

when x = 9

y = 1.87sin(-0.29 x 9  + 4.79) + 6.13

y = 1.87sin(2.18 rad) + 6.13

y =7.7

when x = 10

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

y = 1.87sin(1.89 rad) + 6.13

y = 7.9

when x = 13

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

y = 1.87sin(1.02 rad) + 6.13

y = 7.72

when x = 17

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

y = 1.87sin(-0.14 rad) + 6.13

y = 5.9

when x = 20

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: https://brainly.com/question/1143565

#SPJ1