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. Wave W has a greater amplitude. Wave X has a faster speed.

Answer 1

To determine the speed of each wave, we can use the relationship between speed \( v \), frequency \( f \), and wavelength \( \lambda \). The formula is:

\[ v = f \times \lambda \]

For Wave W:

• Wavelength = 5 meters
• Frequency = 200 hertz

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

For Wave X:

• Wavelength = 3 meters
• Frequency = 300 hertz

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

Now we compare the speeds:

• Wave W speed = 1000 m/s
• Wave X speed = 900 m/s

Conclusion: Wave W has a faster speed than Wave X.

So, the correct response is: Wave W has a faster speed.