# Math:)

The data in the table represents the average number of daylight ours each month in Springfield in 2015, rounded to the nearest quarter-hour.

Jan~9.5 hrs
Feb~10.5 hrs
Mar~12 hrs
Apr~13.25 hrs
May~14.5 hrs
Jun~15 hrs
Jul~14.75 hrs
Aug~13.75 hrs
Sep~12.5 hrs
Oct~11 hrs
Nov~9.75 hrs
Dec~9.25 hrs

Write an equation that best models the data.

What is the expected number of daylight hours in March 2020? Explain.

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1. Does anyone know how to come up with this equation?

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2. Damon can you help me in any way?

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3. sine wave with period of one year

a + b sin 2 pi ( m-1)/11

m = 1 for January
m = 12 for December (you might need to adjust that to 1/2 month or something)

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4. In march it says 12 hours.
TODAY March 20, the sun crosses the equator and it is 12 dark and 12 light all over this world !

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5. getting phase and average right
a - b cos(2pi(m-1)/11)
12.1 - 2.6 cos [ 2 pi(m-1)/11 ]

using average for a, min at m = 1

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6. Thank you Damon:)

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7. You are welcome :)

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9. No it’s not

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