Question

Wave
Wavelength (meters)
Frequency (hertz)

5
200

3
300
Use the table to answer the question.
The table shows information about two waves. Based on the given information, which conclusion can be made?
(1 point)
• Wave X has a faster speed.
• Wave X has a greater amplitude.
• Wave W has a greater amplitude.
• Wave W has a faster speed.

Answer 1

To determine the conclusions based on the provided information about the waves, we can calculate the speed of each wave using the formula:

\[ \text{Speed} = \text{Wavelength} \times \text{Frequency} \]

For Wave X:
- Wavelength = 5 meters
- Frequency = 200 hertz

Calculating the speed:
\[ \text{Speed of Wave X} = 5 \, \text{m} \times 200 \, \text{Hz} = 1000 \, \text{m/s} \]

For Wave W:
- Wavelength = 3 meters
- Frequency = 300 hertz

Calculating the speed:
\[ \text{Speed of Wave W} = 3 \, \text{m} \times 300 \, \text{Hz} = 900 \, \text{m/s} \]

Now, we can compare the speeds:
- Wave X: 1000 m/s
- Wave W: 900 m/s

Based on these calculations, we can conclude:
- Wave X has a faster speed than Wave W.

Regarding amplitude, the table does not provide information about the amplitude of either wave. Thus, we cannot conclude anything about the amplitude.

Therefore, the correct conclusion is:
**Wave X has a faster speed.**