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?

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 Sar class=

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Answer:

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.

You can use the fact given that both are paid the same hourly wage.

  • The expression that represents Sarah's total pay last week is given by 8w
  • The expression that represents Noah's total pay last week is 8w
  • Yes, both the expressions are equivalent ad Noah and Sarah earned the same amount last week.

How to form expressions for given condition?

You just have to symbolize all the given facts and use operations wherever necessary.

The hourly wage be let w amount per hour.

Calculating total wage expression for Sarah:

On Monday, she worked 5 hours, thus, amount earned on Monday  = 5w

On Tuesday, she worked 3 hours, thus, amount earned on Tuesday = 3w

Thus, total amount = [tex]5w + 3w = (5+3)w = 8w[/tex]

Calculating total wage expression for Noah:

On Wednesday she worked 8 hours, thus, total amount earned = 8w

Thus, we have

  • The expression that represents Sarah's total pay last week is given by 8w
  • The expression that represents Noah's total pay last week is 8w
  • Yes, both the expressions are equivalent ad Noah and Sarah earned the same amount last week.

Learn more about forming expressions here:

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