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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)

machine C machine C machine B machine B machine D machine D machine A

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 efficiency for each machine:

  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 let's summarize the efficiencies:

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

From the calculations, Machine C has the highest efficiency at 75%.