# The average temperature, in °F, for Atlanta, GA is modeled by the sinusoidal function: y = 18.25 sin (pie/6t - 2.09) + 61.15....where t is the time in months and January is t = 1. What is the...

The average temperature, in °F, for Atlanta, GA is modeled by the sinusoidal function: y = 18.25 sin (pie/6t - 2.09) + 61.15....where t is the time in months and January is t = 1. What is the average temperature for the month of February?

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Expert Answers

justaguide | Certified Educator

The average temperature, in F, for Atlanta, GA is modeled by the sinusoidal function:` y = 18.25*sin ((pi/6)*t - 2.09) + 61.15` where t is the time in months and t = 1 in January. In February, t = 2. Substituting t = 2 in the sinusoidal function gives:

y = `18.25*sin ((pi/6)*2 - 2.09) + 61.15 = 45.38`

**The average temperature in February was 45.38 F**