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The number of hours of daylight y for day x (x = 1 to 365) in Anchorage, Alaska, can be modeled by y=7.0sin(2π365x−1.4)+12.4. What is the minimum number of hours of daylight in Anchorage?

User FrostyL
by
6.2k points

1 Answer

4 votes

Answer:

5.4 hours

Explanation:

As the number of hours of daylight y is modeled as a function of sin, and sin has the minimum value of -1. Therefore


sin(2\pi 365x-1.4) \geq -1


7sin(2\pi 365x-1.4) \geq -7


7.0sin(2\pi 365x-1.4)+12.4 \geq 5.4


y \geq 5.4

So the minimum number of hours of daylight in Anchorage is 5.4 hours

User Simeon Leyzerzon
by
6.3k points
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