Answered

The power ratings of several motors are listed in the table.

| Brand | Power (W) |
|-------|-----------|
| Brand X | 7,460 |
| Brand Y | 7,650 |

An advertising agency writes marketing material for a new motor (Brand W) with a power rating of 7,640 W. Which statement comparing the motors can they truthfully use?

A. Brand W motor can finish any job faster than Brand Y motor.
B. There's not a more powerful motor available.
C. Brand W motor does more work each second than Brand X or Brand Z.
D. Every second, Brand W motor does 7,640 N of your toughest work.



Answer :

GinnyAnswer
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.