Question

CPS Algebra 1 and Algebra 1 Honors Common Assessment #2 Review

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=_x+_

Answer 1

look below

Explanation:

To write a linear equation to represent the hours that Yuson has left to do after x days, we need to consider the information given in the problem. We know that Yuson does 2 hours of community service each day, and after 8 days, she has completed half of her required hours.

We can use this information to set up a system of equations to represent the problem. Let H be the total number of hours Yuson needs to complete, and let X be the number of days she has completed. We can then set up the following system of equations:

X * 2 = H / 2

X = 8

To solve this system of equations, we can substitute the second equation into the first equation to solve for H:

8 * 2 = H / 2

H = 16

Therefore, the total number of hours Yuson needs to complete is 16.

To write a linear equation to represent the hours that Yuson has left to do after x days, we can use the total number of hours she needs to complete and the number of hours she does each day. The equation would be:

Y = H - 2X

= 16 - 2X

This equation represents the number of hours Yuson has left to do after x days, where H is the total number of hours she needs to complete and X is the number of days she has completed.