Question

The model for long-term average temperature f (x), in degrees Celsius, at the Willburn airport is represented by the equation f of x is equal to 5 times sine of the quantity x over 12 end quantity plus 14 and 5 tenths period If x represents the month of the year, in which months will the temperature be 17°C?

x equals pi over 6 plus 2 times pi times n and x equals 5 times pi over 6 plus 2 times pi times n
x equals pi over 6 plus 24 times pi times n and x equals 5 times pi over 6 plus 24 times pi times n
x = 2π + 2πn and x = 10π + 2πn
x = 2π + 24πn and x = 10π + 24πn

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

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

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