Some populations of animals exhibit periodic behavior over time. During the 1960s and 1970s, two scientists carefully studied the population of the Carabid beetle in a region of the Netherlands. Assume that the table below shows the results from their study. Without the aid of technology, choose the sine model which is the most reasonable fit to data, where x is the number of years since 1964. 
Definitions:
Linear
A mathematical relationship or function that can be graphed as a straight line, representing a constant rate of change.
Good Z
A hypothetical product used in economic theory to illustrate concepts.
Milk
A nutritious liquid food produced by the mammary glands of mammals, widely consumed directly and used in a variety of dairy products.
Supply Curve
A graphical representation showing the relationship between the price of a good and the amount of the good that suppliers are willing and able to sell.
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