Yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson has left after x days?

Linear equation which represents the hours Yuson has left after x days is:

30-2x

Yuson must complete 30 hours of community service.

She does 2 hours each day.

i.e. in x days, hours of service done= 2x

After x days hours of service left= 30-2x

Hence, linear equation which represents the hours Yuson has left after x days is:

30-2x

We want to find a linear equation that represents the given situation.

We will get the equation: d(x) = 30h - 2h*x

Let's see how to get that, first we need to see which information we have:

We know that Yuson must complete 30 hours of community service, and she does 2 hours per day.

So she will start with 30 hours, and for each day that passes (represented with the variable x) the amount of hours reduces by 2.

We get:

d(x) = 30h - 2h*x

So for each value of x, we can get the number of hours that she has left, and the graph of this linear equation can be seen below.

If you want to learn more, you can read:

link

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step-by-step explanation: