Use the graph of the sine function y = 2 sin θ shown below.

a. how many cycles occur in the graph?
b. find the period of the graph.
c. find the amplitude of the graph.

Based on the given graph above, here are the answers for the following questions:
A. Based on the graph, there is only 1 cycle in it. It started at y=0 and ends in its starting point again which is still y=0. 
B. This cycle is 2 units long so this means that the period of the graph is 2pi units long.
C. The amplitude is defined as the distance from the center to the peak of the valley in the graph. So basing on it, the amplitude would be 2.
Hope these answers help.

The ratio of the percent increase is not the same as the percent decrease.The ratio for the percent increase has a smaller denominator than the percent decrease.The original amount for the percent increase is different from the original amount for the percent decrease.

Step-by-step explanation:

From 45 to 75:

We could calculate this using the rule of three. If 45 is 100%, 75 what percentage would be?

From 75 to 45:

We do the same process, but in the opposite way. If 75 represents 100%, 45 what percentage would be?

So, comparing both process we conclude that, both ratios are not the same, we judge this by watching is fraction, and each result. Also, the ratio for the percentage increase has lower denominator (45) than the percentage decrease (75). Lastly, the original amounts in each case is different, the increased started from 45, and the decreased started from 75.