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)

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

1 answer

To determine the speed of each wave, we can use the formula:

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

For Wave W:

  • Wavelength = 5 meters
  • Frequency = 200 hertz

\[ \text{Speed of Wave W} = 5 , \text{meters} \times 200 , \text{hertz} = 1000 , \text{m/s} \]

For Wave X:

  • Wavelength = 3 meters
  • Frequency = 300 hertz

\[ \text{Speed of Wave X} = 3 , \text{meters} \times 300 , \text{hertz} = 900 , \text{m/s} \]

Now we can compare the speeds:

  • Speed of Wave W = 1000 m/s
  • Speed of Wave X = 900 m/s

Based on this calculation, we can conclude that:

Wave W has a faster speed than Wave X.

Thus, among the options provided, the correct conclusion is:

Wave W has a faster speed.