the period is 24, so
y = sin(π/12 x)
The temperature varies between 60 and 80, so the center-line is y=70, and the amplitude is 10
y = 10sin(π/12 x) + 70
I don't know what time the temperature is 70, but if it's at 6 am, then the horizontal shift is 6 hours, meaning
y = 10 sin(π/12 (x-6)) + 70
see
http://www.wolframalpha.com/input/?i=plot+y%3D10+sin(%CF%80%2F12+(x-6))+%2B+70,+y%3D70+for+0%3C%3Dx%3C%3D24
Over a 24-hour period, the temperature in a town can be modeled by one period of a sinusoidal function. The temperature measures 70°F in the morning, rises to a high of 80°F, falls to a low of 60°F, and then rises to 70°F by the next morning.
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?
stuck please help :/
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