Question

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?

Answer 1

Answer:

5.4 hours

Step-by-step 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