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
 

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