Question

yuson must complete a certian number of hours of community service. she does 2 hours of service each day. after 8 days, yuson has completed half of her required community service. write a linear equation to represent the hours that yuson has left to do after x days.

Answer 1

y = 32 -2x

Explanation:

You want an equation for the remaining community service Yuson must complete after x days if she does 2 hours per day and is half done after 8 days.

Remaining

Yuson has completed (2 hr/day)·(8 day) = 16 hr of community service after 8 days. This is half the total required, so the initial amount required must be 2·16 = 32 hours.

After x days, 2x hours have been completed, reducing the amount remaining. Thus the amount remaining is ...

y = 32 -2x . . . . . hours left after x days

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