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Sara lost 12 pounds over the summer by jogging each week. By winter time she had gained 4 3/8 pounds. Represent this situation with an expression involving signed numbers. What is the overall change in Sara’s weight?.

Answer :

MrRoyal

The situation with an expression involving signed numbers is w - 12 + 4 3/8 and the overall change in Sara’s weight is -7 5/8 pounds

Represent this situation with an expression involving signed numbers.

Let Sara's initial weight be w.

The given parameters are:

Lost = 12 pounds

Gain = 4 3/8 pounds

The situation with an expression involving signed numbers is represented as:

Weight = Initial - Lost + Gain

So, we have:

Weight = w - 12 + 4 3/8

What is the overall change in Sara’s weight?.

In (a), we have:

Weight = w - 12 + 4 3/8

The overall change is:

Change = - 12 + 4 3/8

Evaluate

Change = -7 5/8

Hence, the overall change in Sara’s weight is -7 5/8 pounds

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