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 Skip to navigation

Answer 1

To find the efficiency of each machine, 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:

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

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

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

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

Now we can summarize the efficiencies:

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

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