Sarah and noah work at a bookstore and get paid the same hourly wage. the table shows their work schedule for last week.

1. write an expression that represents sarah's total pay last week. represent her hourly wage with w.

2. write an expression that represents noahs total page last week. represent his hourly wage with w.

3. are the expressions equivalent? did sarah and noah earn the same amount last week?

1. Sarah's total pay = (5+3)*w

2. Noah's total pay = 8*w

3. Yes, both of them earned the same amount last week

Step-by-step explanation:

1. We are given that Sarah worked 5 hours on Monday and 3 hours on Tuesday i.e. she worked total (5+3) = 8 hours.

Let, the hourly wage of Sarah be 'w' and the total pay be 's'.

Then, the total pay of Sarah is: s = (5+3)*w

2. Now, Noah worked total 8 hours on Wednesday.

Let, Noah's hourly wage be 'w' and the total pay be 'n'.

Then, the total pay of Noah is: n = 8*w

3. As, the total pay of Sarah = (5+3)*w = 8*w = the total pay of Noah.

Hence, both the expressions are same and they both earned the same amount last week.