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Which of the following situations can be modeled by the expression -1 - (-2)?

A) The Tigers football team did not do well on their first two downs of this drive. On first down, they lost one yard. On second down, they lost another two yards. How many total yards did they lose?

B) The Tigers football team did not do well on their first two downs of this drive. On first down, they lost two yards. On second down, they gained one yard back. What was their difference in yardage between the two downs?

C) The Tigers football team did not do well on their first two downs of this drive. On first down, they gained two yards. On second down, they lost one yard. How many yards do they need to get the first down?

D) None of the above.

User Fokwa Best
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Final answer:

The expression -1 - (-2) can be modeled by situation A) The Tigers football team did not do well on their first two downs of this drive. On first down, they lost one yard. On second down, they lost another two yards. The total yards they lost is 1 yard. The correct answer is option B .

Step-by-step explanation:

The expression -1 - (-2) can be modeled by situation A) The Tigers football team did not do well on their first two downs of this drive. On first down, they lost one yard. On second down, they lost another two yards. To find the total yards they lost, we need to subtract the second loss of two yards from the first loss of one yard.

-1 - (-2) = -1 + 2 = 1

Therefore, the total yards they lost is 1 yard. The question you've asked is about an expression in mathematics and how it can represent a real-world situation, particularly in football. The expression in question is -1 - (-2). Let's look at the given scenarios and choose which one can be best modeled by this expression:

A) The Tigers football team lost one yard on the first down and another two yards on second down.

B) The Tigers football team lost two yards on the first down but gained one yard back on the second down.

C) The Tigers football team gained two yards on the first down but lost one yard on the second down.

D) None of the above.

To determine which situation matches the expression, we need to understand what the expression is saying. -1 - (-2) means we are starting with a negative one (-1 representing a loss) and subtracting a negative two (-2 representing another loss, but since it's subtracted, it means a gain in the context of football yardage). So the correct context for -1 - (-2) is the act of losing one yard and then gaining two yards.

Therefore, the situation that matches the expression -1 - (-2) is:

Option B: This is because the team first lost two yards, and then on the second down, they gained one yard back. In the language of mathematics, subtracting a negative is like adding the positive value back, so the total difference in yardage is one yard gained overall, as expressed by -1 - (-2) = 1.

User Lepsch
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