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 W has a faster speed.
Wave W has a faster speed.

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

Wave W has a greater amplitude.

Answer 1

To determine which wave has a faster speed, we can use the relationship between speed, frequency, and wavelength. The speed of a wave is given by the formula:

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

Let's calculate the speed for both waves.

For Wave W:
- Wavelength = 5 meters
- Frequency = 200 Hz

\[ \text{Speed}_W = 5 \, \text{m} \times 200 \, \text{Hz} = 1000 \, \text{m/s} \]

For Wave X:
- Wavelength = 3 meters
- Frequency = 300 Hz

\[ \text{Speed}_X = 3 \, \text{m} \times 300 \, \text{Hz} = 900 \, \text{m/s} \]

Now we compare the speeds:
- Wave W speed = 1000 m/s
- Wave X speed = 900 m/s

From the calculations, we can conclude that **Wave W has a faster speed**.

Regarding amplitude, no information is given about the amplitudes of either wave, so we cannot make a conclusion about the amplitudes.

Therefore, the correct conclusion that can be made is:

**Wave W has a faster speed.**