Final answer:
The sinusoidal expression that models Hungry Harry's daily hunger H(t) in kilograms (kg) of pigs as a function of time t in hours is Option C: 15cos(πt/111)+7.5.
Step-by-step explanation:
The sinusoidal expression that models Hungry Harry's daily hunger H(t) in kilograms (kg) of pigs as a function of time t in hours is Option C: 15cos(πt/111)+7.5.
The general equation for a sinusoidal function is given as H(t) = A cos(wt + φ), where A is the amplitude, w is the angular frequency, and φ is the phase shift. In this case, A=15 and the phase shift is 7.5.
Therefore, the correct sinusoidal expression is: H(t) = 15cos(πt/111) + 7.5