Light intensity in daylight hours may be modeled by a function of the form
f(t) = d + a sin(bt + c)
. Here t is the number of hours after 6:00 AM (dawn), and the period of this function is 12 hours. The minimum value is 560 lumens of light, which occurs at both dawn and 12 hours later at dusk. The maximum light intensity is 1760 lumens. Find f(t). (Note: there are many correct answers, since there are several correct choices for a,b,c,d, and you could even use cosine instead of sine)

Question

Light intensity in daylight hours may be modeled by a function of the form 
f(t) = d + a sin(bt + c)
. Here t is the number of hours after 6:00 AM (dawn), and the period of this function is 12 hours. The minimum value is 560 lumens of light, which occurs at both dawn and 12 hours later at dusk. The maximum light intensity is 1760 lumens. Find f(t). (Note: there are many correct answers, since there are several correct choices for a,b,c,d, and you could even use cosine instead of sine)