Question

A.
The data in the table represents the average number of daylight hours each month in Springfield in 2015, rounded to the nearest quarter-hour. Write an equation that models the data.



B.
What is the expected number of daylight hours in March 2020? Explain how you found this.

Answer 1

Given:

The average number of daylight hours each month in Springfield in 2015:

Jan   9.5
Feb  10.5
Mar  12
Apr  13.25
May  14.5
Jun   15
Jul    14.75
Aug   13.75
Sep    12.5
Oct    11.0
Nov   9.75
Dec   9.25

Now, we observe the trend of the monthly hours, it starts with a low value then increases and decreases back to the original value. This represents a parabola with the highest point of 15 hours.