The area covered by a city is 20 square miles. The area grows by a factor of 1.1 each year since it was 20 square miles. a. Explain why the area, a, covered by the city, in square miles, is a function of t, the number of years since its area was 20 square miles.

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.