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.
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.
1 answer:
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
__
The amplitude is the maximum deviation from the midline, so is ...
amplitude = 44 -32 = 12
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Answer:
.86
Step-by-step explanation:
Exponential function formula
where a = initial value
r = rate of change
and t = number of years
given the equation y = 34000(0.86)^x.
r = .86
Hence the change factor is .86