Let's evaluate each statement one by one, based on the power ratings given:
1. Brand W motor can finish any job faster than Brand Y motor can.
- Comparison: Brand W motor has a power rating of 7,640 W, whereas Brand Y motor has a higher power rating of 7,650 W.
- Conclusion: Since Brand Y motor is more powerful, Brand W motor cannot finish any job faster than Brand Y motor.
- Truthfulness: This statement is False.
2. There's not a more powerful motor available.
- Comparison: Among the motors listed, Brand Y motor has the highest power rating of 7,650 W, which is more than the power rating of Brand W motor (7,640 W).
- Conclusion: There is a more powerful motor available than Brand W (Brand Y).
- Truthfulness: This statement is False.
3. Brand W motor does more work each second than Brand X or Brand Z.
- Comparison: Brand W motor has a power rating of 7,640 W, which is higher than both Brand X motor's 7,460 W and Brand Z motor's 7,580 W.
- Conclusion: Brand W motor does indeed do more work each second compared to Brand X and Brand Z.
- Truthfulness: This statement is True.
4. Every second, Brand W motor does [tex]$7,640 N$[/tex] of your toughest work.
- Interpretation: Power is measured in Watts (W), which is equivalent to Newton-meters per second (Nm/s). Thus, 7,640 W means the motor does 7,640 Newton-meters of work per second.
- Conclusion: Hence, stating that Brand W motor does 7,640 Newtons of work every second is accurate.
- Truthfulness: This statement is True.
In summary, the advertising agency can truthfully use the following statements:
- Brand W motor does more work each second than Brand X or Brand Z.
- Every second, Brand W motor does [tex]$7,640 N$[/tex] of your toughest work.
