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Answer:
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Step-by-step explanation:
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The expression that represents the month of the year, in which months will the temperature be 17°C is x = 2π
How to determine the month of the year?
The function is given as:
f(x) = 5sin(x/12) + 14.5
When the temperature is 17°C, the equation becomes
5sin(x/12) + 14.5 = 17
Subtract 14.5 from both sides
5sin(x/12) = 2.5
Divide both sides by 5
sin(x/12) = 0.5
Take the arc sin of both sides
x/12 = π/6
Multiply both sides by 12
x = 2π
Hence, the expression that represents the month of the year, in which months will the temperature be 17°C is x = 2π
Read more about sinusoidal functions at:
https://brainly.com/question/14168604
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