At a certain location, the number of hours of sunlight is modeled by y = 6.4 cosine (StartFraction pi Over 26 EndFraction x) + 12 where x represents the number of weeks after the summer solstice.

Based on the model, what is the minimum number of hours of sunlight at this location?

3.2
5.6
6.4
13.0

For minimum hours of sunlight, [tex]cos(\frac{\pi x}{26})[/tex] should have the lowest value, that is -1 for [tex]x=26[/tex] {because [tex]cos (\pi )=-1[/tex] is the lowest value of cosine function}

Thus.

[tex]y_{minimum} = -6.4 + 12 \\y_{minimum}= 5.6[/tex]

So, the option is an option (b)

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At a certain location, the number of hours of sunlight is modeled by y = 6.4 cosine (StartFraction pi Over 26 EndFraction x) + 12 where x represents the number of weeks after the summer solstice. Based on the model, what is the minimum number of hours of sunlight at this location? 3.2 5.6 6.4 13.0

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