Deb works 15 hours per week at her new job. Usually she works entirely in the office. During her first week, though, she spent 12 of her work hours doing outdoor team-building activities.Let w represent the number of weeks Deb has been at the new job and h represent the total number of hours Deb has worked in the office.This relationship can also be shown in a table. Complete the equation that represents the relationship between w and h.w h3 334 485 636 78h=
Question
Deb works 15 hours per week at her new job. Usually she works entirely in the office. During her first week, though, she spent 12 of her work hours doing outdoor team-building activities.Let w represent the number of weeks Deb has been at the new job and h represent the total number of hours Deb has worked in the office.This relationship can also be shown in a table. Complete the equation that represents the relationship between w and h.w h3 334 485 636 78h=
Solution
The equation that represents the relationship between w (weeks) and h (hours) is h = 15w - 12.
Here's how we get this:
- Deb works 15 hours per week, so in w weeks, she would have worked 15w hours.
- However, in her first week, she spent 12 hours doing outdoor activities, which means she worked 15 - 12 = 3 hours in the office.
- So, for the subsequent weeks, she worked full 15 hours in the office.
- Therefore, the total number of hours Deb has worked in the office after w weeks is 15w (total hours she would have worked) - 12 (hours spent on outdoor activities in the first week).
So, the equation is h = 15w - 12.
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