Me !

blood pressure can be modeled by a sinusoidal curve, where the maximum and minimum on the curve correlate to the person’s blood pressure reading. henry’s blood pressure is modeled by the function p(t)=30sin(2 pie t)+100, where t is time in seconds.

which graph accurately depicts this model?

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The answer is A!

The translation of a sin function can be modeled by the form: P(t)=Asin(Bx+C)+D
Where:
A = the curve's amplitude (highest and lowest points)
The period = (2[pi])/ |B|
The phase shift (horizontal shift) = (-C)/B
D = vertical shift
By looking at the function we are given: P(t)=30sin(2[pi]t)+100,
We can see that the amplitude (the curve's highest and lowest points) = 30.
The phase shift (C) or in this case 't' = 0 (so there is no horizontal shift)
The period = 1
And D (the vertical shift) = 100

Keep in mind that a sine function has a distinct, sideways 'S' curve. Always. Look it up on Google images if you want to know what I mean.

So what we're looking for is a graph whose line starts at (0,100) or 100 units ABOVE the "seconds"(x)-axis. Because D=100
It's whole 'S' curve STARTS at (0,100), goes UP 30 units, goes down again to cross over the midline (which is 100), goes DOWN further 30 units, then comes back up to the midline ALL IN 1 SECOND because the period = 1

And graph A has everything we need!
I just took this test and it is correct.
Good luck on your studies!

The third box is a function