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Sagot :
To compare the given motors and identify which statements can be truthfully used, let’s analyze each statement based on the given power ratings:
1. Brand W motor can finish any job faster than Brand Y motor can.
- Brand Y motor has a power rating of [tex]\( 7,460 \)[/tex] W.
- Brand W motor has a power rating of [tex]\( 7,640 \)[/tex] W.
- Since [tex]\( 7,640 \)[/tex] W (Brand W) is greater than [tex]\( 7,460 \)[/tex] W (Brand Y), Brand W can indeed finish any job faster than Brand Y.
Therefore, this statement is True.
2. There's not a more powerful motor available.
- Brand Z motor has a power rating of [tex]\( 7,650 \)[/tex] W.
- Brand W motor has a power rating of [tex]\( 7,640 \)[/tex] W.
- Since [tex]\( 7,650 \)[/tex] W (Brand Z) is greater than [tex]\( 7,640 \)[/tex] W (Brand W), Brand W is not the most powerful motor available.
Therefore, this statement is False.
3. Brand W motor does more work each second than Brand X or Brand Z.
- Brand X motor's power rating is not given, but we know:
- Brand Z motor has a power rating of [tex]\( 7,650 \)[/tex] W.
- Brand W motor has a power rating of [tex]\( 7,640 \)[/tex] W.
- Since [tex]\( 7,650 \)[/tex] W (Brand Z) is greater than [tex]\( 7,640 \)[/tex] W (Brand W), Brand W does not do more work each second than Brand Z.
Therefore, this statement is False.
4. Every second, Brand W motor does 7,640 N of your toughest work.
- This statement is simply a restatement of the power rating of Brand W in a different context (force and work over time). The power rating of Brand W is indeed [tex]\( 7,640 \)[/tex] W.
Therefore, this statement is True.
Thus, the truthful statements that can be used in the marketing material are:
1. Brand W motor can finish any job faster than Brand Y motor can.
2. Every second, Brand W motor does 7,640 N of your toughest work.
1. Brand W motor can finish any job faster than Brand Y motor can.
- Brand Y motor has a power rating of [tex]\( 7,460 \)[/tex] W.
- Brand W motor has a power rating of [tex]\( 7,640 \)[/tex] W.
- Since [tex]\( 7,640 \)[/tex] W (Brand W) is greater than [tex]\( 7,460 \)[/tex] W (Brand Y), Brand W can indeed finish any job faster than Brand Y.
Therefore, this statement is True.
2. There's not a more powerful motor available.
- Brand Z motor has a power rating of [tex]\( 7,650 \)[/tex] W.
- Brand W motor has a power rating of [tex]\( 7,640 \)[/tex] W.
- Since [tex]\( 7,650 \)[/tex] W (Brand Z) is greater than [tex]\( 7,640 \)[/tex] W (Brand W), Brand W is not the most powerful motor available.
Therefore, this statement is False.
3. Brand W motor does more work each second than Brand X or Brand Z.
- Brand X motor's power rating is not given, but we know:
- Brand Z motor has a power rating of [tex]\( 7,650 \)[/tex] W.
- Brand W motor has a power rating of [tex]\( 7,640 \)[/tex] W.
- Since [tex]\( 7,650 \)[/tex] W (Brand Z) is greater than [tex]\( 7,640 \)[/tex] W (Brand W), Brand W does not do more work each second than Brand Z.
Therefore, this statement is False.
4. Every second, Brand W motor does 7,640 N of your toughest work.
- This statement is simply a restatement of the power rating of Brand W in a different context (force and work over time). The power rating of Brand W is indeed [tex]\( 7,640 \)[/tex] W.
Therefore, this statement is True.
Thus, the truthful statements that can be used in the marketing material are:
1. Brand W motor can finish any job faster than Brand Y motor can.
2. Every second, Brand W motor does 7,640 N of your toughest work.
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