Q:

The data in the table represents the average number of daylight hours each month in Springfield in 2015, rounded to the nearest quarter-hour. Part A: Write an equation that best models the data. Part B: What is the expected number of daylight hours in March 2020? Explain. Here's the chart. January: 9.5 February: 10.5 March: 12 April: 13.25 May: 14.5 June: 15 July: 14.75 August: 13.75 September: 12.5 October: 11.0 November: 9.75 December: 9.25 The only thing that I did was to put the numbers from lowest to highest, graphed it, and made a equation for it. I just need help with part B. Please help :)

Accepted Solution

A:
To do part B, use the equation that you wrote for part A.  We need to figure out what month number March of 2020 will be; we started in January 2015 at month 1; month 2 was Feb. 2015; month 3 was Mar. 2015; etc. to month 12 at Dec. 2015.  Then month 13 will be Jan. 2016; month 13+12=25 will be Jan. 2017; month 25+12=37 will be Jan. 2018; month 37+12=49 will be Jan. 2019; month 49+12=61 will be Jan. 2020; month 62 will be Feb. 2020; and month 63 will be March 2020.  

63 is the number you will substitute for x in the equation you've already written for part A.