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A storm is approaching and causing the depth of the water in the bay to fluctuate. The depth D(t), in meters, can be described by the function D of t is equal to 6 times sine of the quantity pi over 5 times t end quantity plus 10 comma such that t represents the time in minutes. Which of the following graphs represents the depth of the water in the bay?

A storm is approaching and causing the depth of the water in the bay to fluctuate The depth Dt in meters can be described by the function D of t is equal to 6 t class=

Respuesta :

D(t)= 6sin (pi/5t) + 10

General form:

y = A sin (Bx +C) +D

Where:

A = amplitude

D= vertical shift

C = phase shift B= period

For the given function:

Amplitude = 6

Phase shift = 10

The bottom graphs are Cosine functions, so they are not.

Among the top ones, The first one has an amplitude of 6 and the second one has an amplitude of 3 .

Correct answer:

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