Question

Use the table to answer the question.

Output and Input Work of Different Machines
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 B
machine B

machine C
machine C

machine D
machine D

machine A

Answer 1

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:

- **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, 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%.