Over the course of 20 years, the temperature in a small town is recorded every day. The temperature seems to go up and down periodically in a regular interval throughout the year. If the coldest day of the year is always January 1(representing day)at-11C and the warmest day of the year is always in the middle of the year at 27C, (a) Write the sinusoidal equation that models the average temperature of the town as a function of time, in days. Show all calculations and include a sketch Recall: 1 year 365 days Your k-value should be a fraction in lowest terms. (b) Use your equation to calculate the temperature on the 100″ day of the year. Round to the nearest degree. Show work

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