Michaelís weight fluctuates according to a sinusoidal function of time. Let x = 0 correspond to the beginning of the year (January, 1st). Because of his new year resolutions, Michael loses weight and reaches a minimum of 205 pounds at x = 60 days. Michael then stops exercising and dieting and his weight increases to a maximum of 250 pounds at x = 140 days.
If summer starts on the day x = 171 and ends on the day x = 265, how many days of summer will Michaelís weight be below 220 pounds (these are the days he fits into his bathing suit)?
Here is what I got:
Using the sinusoidal function Asin((2pi/B)(x-C))+D
I got 22.5sin((2pi/160)(x-100))+227.5
So where do I go after I go the equation?
ALSO, another curious question (if anyone got time or wants to answer it), how do you get rid of a sin in an equation.