Question

Use the table to answer the question.

Wave Wavelength (meters) Frequency (hertz)
W 5 200
X 3 300
The table shows information about two waves. Based on the given information, which conclusion can be made?

(1 point)
Responses

Wave X has a greater amplitude.
Wave X has a greater amplitude.

Wave X has a faster speed.
Wave X has a faster speed.

Wave W has a greater amplitude.
Wave W has a greater amplitude.

Wave W has a faster speed.

Answer 1

To determine which conclusion can be made based on the provided table, we can analyze the given information.

The speed of a wave can be calculated using the formula:

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

Let's calculate the speed for both waves:

1. For Wave W:
- Wavelength = 5 meters
- Frequency = 200 hertz
- Speed \( = 5 \, \text{m} \times 200 \, \text{Hz} = 1000 \, \text{m/s} \)

2. For Wave X:
- Wavelength = 3 meters
- Frequency = 300 hertz
- Speed \( = 3 \, \text{m} \times 300 \, \text{Hz} = 900 \, \text{m/s} \)

Now, we can conclude:

- Wave W has a speed of 1000 m/s.
- Wave X has a speed of 900 m/s.

From this calculation, we can see that Wave W has a faster speed than Wave X.

Hence, the correct conclusion based on the information in the table is:

**Wave W has a faster speed.**