Use the table to answer the question.

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 D
machine D

machine C
machine C

machine B
machine B

machine A
machine A
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Answer 1

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

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

Now we'll 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%

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

So, the answer is machine C.