The sum \(-22 + 9\) can be interpreted in a real-world context as follows:
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A scuba diver is 22 feet below sea level. Their friend is standing on a diving board 9 feet above sea level. What is the vertical distance between the scuba diver and their friend?
- This scenario would require finding the difference between two positions relative to sea level, which could involve calculating \(-22\) (the depth of the diver) plus \(9\) (the height of the friend).
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The temperature was −22°F yesterday. Today the temperature is 9°F. How much warmer is it today compared with yesterday?
- This scenario also fits because it compares two different temperatures and could use the same sum to find the difference in temperature.
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Quinn is playing a card game with his friends. He had −22 points at the start of his turn, but just got 9 points. How many points does he now have?
- This also works because it calculates the total score after gaining points.
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Layla earned $22 babysitting last weekend. Today she received $9 from her grandmother. How much money does she have altogether?
- This scenario involves addition of positive amounts, which does not fit the sum \(-22 + 9\).
Among these, the first three options use the concept of summing a negative value with a positive value, which reflects the problem of finding the relative distance or change in a scenario. However, the two best contexts for \(-22 + 9\) are the first and second scenarios since they directly refer to measuring changes in position or temperature involving negatives.
Ultimately, the best choice for describing the sum \(-22 + 9\) is:
The temperature was −22°F yesterday. Today the temperature is 9°F. How much warmer is it today compared with yesterday?
This highlights a clear example of measuring a temperature change.