Question

yuson must complete a certain 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. y = \square x + \square

Explanation:

Step1: Find total required hours

She does 2 hours daily, after 8 days she completed half. So total hours \( T = 2\times8\times2 = 32 \) hours.

Step2: Determine hours left formula

Let \( y \) be hours left, \( x \) be days. Hours completed: \( 2x \). So \( y = 32 - 2x \), which is \( y = -2x + 32 \).

Answer:

\( y = -2x + 32 \)