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Use the table to answer the question.

Machine Output Work (J) Input Work (J)
A 750 1,500
B 1,000 4,000
C 450 600
D 3,000 5,000
Which machine has the highest efficiency?

(1 point)
Responses

machine A
machine A

machine D
machine D

machine B
machine B

machine C
machine C

1 answer

To determine which machine has the highest efficiency, we can calculate the efficiency of each machine using the formula:

\[ \text{Efficiency} = \left( \frac{\text{Output Work}}{\text{Input Work}} \right) \times 100% \]

Now let's calculate the efficiencies:

  1. Machine A: \[ \text{Efficiency} = \left( \frac{750}{1500} \right) \times 100% = 50% \]

  2. Machine B: \[ \text{Efficiency} = \left( \frac{1000}{4000} \right) \times 100% = 25% \]

  3. Machine C: \[ \text{Efficiency} = \left( \frac{450}{600} \right) \times 100% = 75% \]

  4. Machine D: \[ \text{Efficiency} = \left( \frac{3000}{5000} \right) \times 100% = 60% \]

Now, comparing the efficiencies:

  • Machine A: 50%
  • Machine B: 25%
  • Machine C: 75%
  • Machine D: 60%

The machine with the highest efficiency is Machine C with an efficiency of 75%.