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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

Respuesta :

Answer:

5.6

Step-by-step explanation:

Edge 2020

A correct option is an option (b)

Given,

The function is [tex]y=6.4 cos(\frac{\pi x}{26})+12[/tex]

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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