Question

Ruby has a pulse rate of 73 beats per minute and a blood pressure of 121 over 85. If ruby’s blood pressure can be modelled by a sinusoidal function, find an equation of this sinusoid.

Answer 1

The blood pressure of Ruby is modelled by following sinusoidal equation: $y = 103 +18\cdot \sin (146\pi\cdot t)$.

How to model blood pressure by sinusoidal functions

A sinusoidal function is represented by following model:

$y = 0.5\cdot (y_{min}+y_{max}) + 0.5\cdot (y_{max}-y_{min})\cdot \sin (2\pi\cdot f\cdot t)$ (1)

Where:

• $y_{min}$ - Minimal blood pressure
• $y_{max}$ - Maximal blood pressure
• $f$ - Frequency, in beats per minute
• $t$ - Time, in minutes

If we know that $y_{min} = 85$, $y_{max} = 121$ and $f = 73$, then the sinusoidal formula for blood pressure is:

$y = 103 +18\cdot \sin (146\pi\cdot t)$ (2)

The blood pressure of Ruby is modelled by following sinusoidal equation: $y = 103 +18\cdot \sin (146\pi\cdot t)$. $\blacksquare$

To learn more on sinusoidal functions, we kindly invite to check this verified question: brainly.com/question/12078395