Question

here is a mathematical relationship between wave speed, wavelen wave speed = wavelength · frequency f the medium a wave moves through does not change, wave speed maya creates a wave with a constant speed of 18 feet per second. a wavelength, how does the frequency change? complete the table. write your answers as whole numbers or decimals. complete the sentence about a wave moving at constant speed. if the waves wavelength increases, then its frequency decreases decreases increases stays the same

Explanation:

Step1: Rearrange the formula

Given \( wave\ speed = wavelength\times frequency \), we can solve for \( frequency=\frac{wave\ speed}{wavelength} \).

Step2: Calculate the frequency for \( wavelength = 12\)

Since \( wave\ speed = 18\) feet per second and \( wavelength = 12\), then \( frequency=\frac{18}{12} = 1.5\).

Step3: Calculate the frequency for \( wavelength = 18\)

Since \( wave\ speed = 18\) feet per second and \( wavelength = 18\), then \( frequency=\frac{18}{18}=1 \).

Answer:

When \( wavelength = 12\), \( frequency = 1.5\); when \( wavelength = 18\), \( frequency = 1\).