Question

wavelength varies inversely with frequency.

let \\(x\\) = wavelength and \\(y\\) = frequency.

visible light	wavelength (m)	frequency (thz)	\\(k\\)
green	520	580	301,600
yellow	560	540	302,400
red	635	480	304,800

the equation that models the relationship between the wavelength and frequency of yellow light is:

Explanation:

Identify the variation model

Using the Inverse Variation knowledge point

$$ y = \frac{k}{x} $$

Extract values for yellow light

Using the Inverse Variation knowledge point

$$
LATEXBLOCK0
$$

Write the modeling equation

Using the Inverse Variation knowledge point

$$ y = \frac{302,400}{x} $$

Answer:

The equation that models the relationship between the wavelength and frequency of yellow light is: <blank>\(y = \frac{302,400}{x}\)</blank>