Question

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.
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.

Answer 1

Answer:

  see below

Step-by-step explanation:

The period is the change in x required for the function to return to the same value, changing in the same direction. The first two table entries are v(x) = 41.7 and 35.7. The next time that sequence appears is when x=44, so the period is ...

  period = 44 -4 = 40 . . . seconds

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The minimum table value is 20; the maximum is 44, so the midline of the function is their average:

  midline = (20 +44)/2 = 32

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The amplitude is the maximum deviation from the midline, so is ...

  amplitude = 44 -32 = 12