NelWashover
contestada

Select the correct graph and function.

Every day there are two low and two high tides of the ocean. At the cove near Ashley's house, she observed that the high tide was about 4 ft above average sea level, and the low tide was about 4 ft below average sea level. Let g(t) represent the height, in feet, of the water level relative to the average sea level, and let the dependent variable, t, represent the number of hours elapsed from a time when the water height was equal to the average sea level. Select the graph and function that models this situation.

Select the correct graph and function Every day there are two low and two high tides of the ocean At the cove near Ashleys house she observed that the high tide class=
Select the correct graph and function Every day there are two low and two high tides of the ocean At the cove near Ashleys house she observed that the high tide class=

Respuesta :

carlosego

The answer is: [tex] g(t)=4sin(\frac{\pi}{6}x) [/tex] and the graph is shown in the image attached.

The explanation for this problem is shown below:

1. You have that the high tide was about [tex] 4ft [/tex] above average sea level, and the low tide was about [tex] 4ft [/tex] below average sea level. So, the amplitude of the function must be [tex] 4 [/tex]:

2. The formula for calculate the amplitude from a graph is:

[tex] A=\frac{maximum-minimum}{y2} [/tex]

3. As you can see in the graph attached, the maximum is [tex] 4 [/tex] and the minimum is [tex] -4 [/tex]. Then, the amplitude is:

[tex] A=\frac{4-(-4)}{2}=4 [/tex]

4. The amplitude of the sine function is the absolute value of [tex] a [/tex] in [tex] y=asin(bx+c)+d [/tex]. Therefore the amplitude of the function mentioned is: [tex]a=4[/tex] and the period is [tex] P=\frac{2\pi}{\frac{\pi}{6}} =12 [/tex], which corresponds with the period shown in the graph (the repeating of the pattern of the wave).

Ver imagen carlosego

Otras preguntas