Question

The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y = 3x10^8/x What is the wavelength for radio waves with frequency 3 × 10^9?

Answer 1

0.1 m

Explanation:

y = (3x10⁸)/x

3 × 10⁹ = (3×10⁸)/x

x = (3×10⁸)/(3×10⁹)

x = 10^(8-9)

x = 10^-1

x = 1/10

x = 0.1

Answer 2

.1 (or 1/10)

Explanation:

3 * 10^9 = 3 * 10^8/x

Use PEMDAS to interpret

3* 10^9 = 3 * (10^8)/x

Divide both sides by 3

10^9 = (10^8)/x

Divide both sides by 10^8

10 = 1/x

Find the reciprocal of both sides

1/10 = x