The daily consumption C (in gallons) of diesel fuel on a farm in modeled by

C= 30.3 +21.6sin[(2πt/365)+10.9]

where t is the time in days, with t=1 corresponding to January 1

general form ...

A)What is the period of the model? Is it what you expected? Explain

period ...

B) What is the average daily fuel consumption? Which term of the model did you use? Explain?

note that the consumption will vary about the "D" value ... a max of D+A to a min of D-A

C) Use a graphing utilty to graph the model. Use the graph to approximate the time of year when consumption exceeds 40 gallons per day

graph the consumption equation and the line y = 40 ... you should be able to easily calculate the intersections.