~! ~ the maximum afternoon temperature in a city might be modeled by t = 60 – 30cos(xpi/6) where t represents the maximum afternoon temperature in month, x, with x = 0 representing january, x = 1 representing february, and so on. describe how to find the maximum temperature in april and state what this would be. how would you have to change the model if the maximum temperature in april, due to global warming, starts rising?

A) Since x=3 corresponds to April, to find the maximum afternoon temperature in April, you evaluate the function for x=3.

b) t = 60 -30cos(3π/6) = 60 -0 = 60

c) The way you change the model depends on (i) how accurate you want the model to be; (ii) the manner in which the maximum temperature in April is changing; (iii) whether the April temperature remains the average annual temperature.
  In simplest terms, you'd have to raise the value of the number 60 in the model, since the cosine function makes no contribution in April.

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