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# The data in the table shows a sinusoidal relationship

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The data in the table shows a sinusoidal relationship between the number of seconds an object has been moving and its velocity v(x), measured in centimeters per second.

x

 x 4 8 12 16 20 24 28 32 36 40 44 48 v(x) 41.7 35.7 28.3 22.3 20 22.3 28.3 35.7 41.7 44 41.7 35.1

441.735.7

What is true of the cosine function that models the data in the table?

Drag a value into each box to correctly complete the statements.

The period of the cosine function is ___. The equation of the midline of the cosine function is y = ___. The amplitude of the cosine function is ___

I think the answers are 8, 20, and 12 but I am not sure.

Mar 18, 2020

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You should plot all of the given points to more easily answer this question....

Sorry....all of your answers appear to me to be incorrect It LOOKS like the period is 32      at t= 4   value is 41,7    then it decreases and rises back up to 41.7   at  t = 36

36-4 = 32 s

The min is 20    the max  is 41.7       (41.7-20)/2 = amplitude         Midline = 20 + amplitude

These values are garnered by looking at the data in the table....a graph of the data would be better...especially when they ask for phase shifts in similar questions.... Mar 18, 2020