Question
Enrique stands on the diving board, which is at point A on the number line. He jumps off of the diving board and ends up at point B. After a few seconds, he swims to point C on the number line.
Determine whether each statement below is true or false. Select True or False for each statement.
Statement
True
False
The equation 10--5=15 represents the difference between the highest point and the lowest point for Enrique.
Enrique is underwater at point B.
The change in elevation for Enrique from point B to point C is represented by the equation -5-0=-5.
Determine whether each statement below is true or false. Select True or False for each statement.
Statement
True
False
The equation 10--5=15 represents the difference between the highest point and the lowest point for Enrique.
Enrique is underwater at point B.
The change in elevation for Enrique from point B to point C is represented by the equation -5-0=-5.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Let's evaluate each statement one by one.
1. **The equation \(10 - (-5) = 15\) represents the difference between the highest point and the lowest point for Enrique.**
- This statement is **False**. The correct interpretation of the highest point and the lowest point should reflect the absolute values. If the highest point is 10 and the lowest point is -5, the difference is \(10 - (-5) = 10 + 5 = 15\), which might seem correct at first glance; however, based on typical description, the way this is worded is misleading since it could imply a misunderstanding of representing absolute elevations rather than just a difference.
2. **Enrique is underwater at point B.**
- This statement is **True**. If point B refers to a position at -5 on the number line, he would indeed be underwater, as being below zero generally means being submerged.
3. **The change in elevation for Enrique from point B to point C is represented by the equation \(-5 - 0 = -5\).**
- This statement is **True**. The change in elevation from point B at -5 to point C at 0 is calculated as \(-5 - 0 = -5\).
So, the final evaluations of the statements are:
1. False
2. True
3. True
1. **The equation \(10 - (-5) = 15\) represents the difference between the highest point and the lowest point for Enrique.**
- This statement is **False**. The correct interpretation of the highest point and the lowest point should reflect the absolute values. If the highest point is 10 and the lowest point is -5, the difference is \(10 - (-5) = 10 + 5 = 15\), which might seem correct at first glance; however, based on typical description, the way this is worded is misleading since it could imply a misunderstanding of representing absolute elevations rather than just a difference.
2. **Enrique is underwater at point B.**
- This statement is **True**. If point B refers to a position at -5 on the number line, he would indeed be underwater, as being below zero generally means being submerged.
3. **The change in elevation for Enrique from point B to point C is represented by the equation \(-5 - 0 = -5\).**
- This statement is **True**. The change in elevation from point B at -5 to point C at 0 is calculated as \(-5 - 0 = -5\).
So, the final evaluations of the statements are:
1. False
2. True
3. True
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