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 B machine B machine D machine D machine C

1 answer

To determine which machine has the highest efficiency, we can use the formula for efficiency:

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

Let's calculate the efficiency for each machine based on the output and input work provided.

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

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

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

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

Now we can compare the efficiencies:

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

Machine C has the highest efficiency at 75%. Therefore, the answer is machine C.