The Population in a Town Oscillates Over a 17 Year $t=0$

Multiple Choice

The population in a town oscillates over a 17 year period beginning with a high of 3,000 people in year $t=0$ and a low of 2,300. Find a formula for the town's population.

A) $f(t) =2,650-350 \cos \left(\frac{2 \pi}{17}\right)$
B) $f(t) =2,650+350 \cos \left(\frac{2 \pi}{17}\right)$
C) $f(t) =350+1,650 \cos \left(\frac{2 \pi}{17}\right)$
D) $f(t) =350+2,650 \sin \left(\frac{2 \pi}{17}\right)$