Whitney works 41 hours per week at her new job, which she spends at her office. During her first week, though, she spent 13 of her work hours doing outdoor team building activities.Let w represent the number of weeks since starting the job and h represent the total number of hours worked in the office.Complete the table using the relationship between w and h.w h2 4 8 9 Submit
Question
Whitney works 41 hours per week at her new job, which she spends at her office. During her first week, though, she spent 13 of her work hours doing outdoor team building activities.Let w represent the number of weeks since starting the job and h represent the total number of hours worked in the office.Complete the table using the relationship between w and h.w h2 4 8 9 Submit
Solution
The relationship between w (weeks) and h (hours) is given by the equation h = 41w - 13. This is because Whitney works 41 hours per week, but in her first week, she spent 13 hours doing outdoor activities. So, for each week after the first, she works 41 hours in the office.
Let's use this relationship to fill in the table:
For w = 2, h = 412 - 13 = 69 hours For w = 4, h = 414 - 13 = 151 hours For w = 8, h = 418 - 13 = 315 hours For w = 9, h = 419 - 13 = 356 hours
So, the completed table is:
w h 2 69 4 151 8 315 9 356
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