Hey can anyone help me with this math problem, I'm having a lot of trouble with it.

Estelle is performing the song “Lean on Me” by Bill Withers at a concert. She notices the audience members putting their arms around each other and swaying back and forth in unison, swaying all the way to the left and back to the right every four beats. Explain what the amplitude, period and equation of the axis would represent in a sinusoidal model of an audience member’s swaying in terms of beats.

Thanks! :) <3

Supergirl
May 19, 2017

#1
**+2 **

Here's one (but not the only) possibility

Look at tthe following graph of sin (πx/2 + π/2) : https://www.desmos.com/calculator/bdvsovus1f

Let the max height of the curve represent "all the way to the right" and the minimum height of the curve be "all the way to the left" ....note that there are 4 beats from starting from all the way to the right, swaying all the way to the left and back again to the right

The amplitude is 1 (this could be changed without affecting the pattern of beats )

The period is 4 radians.....each radian represents a beat...!!!

P.S. - I don't understand what is meant by "the equation of the axis "

CPhill
May 19, 2017