MHB Finding the Period of a Sinusoidal Model for Ice Cream Sales

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To model ice cream sales using a sinusoidal equation, the period can be determined by analyzing the sales data over the year. The formula for the period is 2π/k, where k is the frequency. The discussion suggests that the time span from January to November represents the first half of a sine wave, indicating that the full period would be from January to the following December. To find the k-value, one must identify the frequency based on the observed sales data. Understanding these relationships is crucial for accurately modeling the sales pattern.
mathuravasant
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The owner of an ice cream shop kept records of the average number of sales per month for 2019. Create a sinusoidal equation to model this information of number of sales per month.I found the maximum, minimum for this, but how can I find the period of from this table.
As I already know formula to find period is =2pi/k but how can I find K-value from this chart??
 

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Hint: Looks to me like the time span between January and November is the first 1/2 of a sine wave, doesn't it?

-Dan
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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