Question

Andy’sweight fluctuates according to a sinusoidal function of time. Let x = 0 correspond
to the beginning of the year (January, 1st). Because of his newyear resolutions, Andy loses
weight and reaches aminimumof 205 pounds at x = 60 days. Andy 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 Andy’s weight be below 220 pounds (these are the days he fits into his
bathing suit)?
So I found the function which is 22.5sin(2pi/160(t-100))+227.5

Answer 1

So there is a min at x=60 and a max at x=140, how did you go about solving the equation?

Answer 2

so the form for a sinusoidal function is asin(2pi/b(x-c))+d
a=max-min (.5)
d= max +min (.5)
b= (140-60)(2)
c= xmin+b/4 160/4+60

Answer 3

so type the work out for us to verify

Answer 4

so the form for a sinusoidal function is asin(2pi/b(x-c))+d
a=max-min (.5)
d= max +min (.5)
b= (140-60)(2)
c= xmin+b/4 160/4+60

Answer 5

a= 250-205/2=22.5
d=250+205/2=227.5
b=140-60(2)=160
c= 60+160/4=100