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Sarah and Noah work at Read On Bookstore and get paid the same hourly wage. The table shows their woek schedule for last week.

User Stratos
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1 Answer

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1. Sarah's total pay:
\(P_s = h * w\).

2. Noah's total pay:
\(P_n = h * w\).

3. Equivalent expressions; they earned the same if hours
(\(h\)) are equal.

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 =

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.

User Roywilliam
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8.0k points