2
QuizMultiple Choice

Rational Functions — Test

Question 2 • Precalculus

The inverse variation equation shows the relationship between wavelength in meters, x , and frequency, y y is equal to the fraction with numerator 3 times 10 to the 8th power and denominator x What is the wavelength for radio waves with frequency 3 times 10 to the 9th power ?

Answer
A
3 times 10 inverse m
B
3 times 10 to the 17th power m
C
9 times 10 to the 17th power m
D
1 times 10 inverse m

Explanation

Use the inverse variation equation y = (3 × 10^8)/x, where y is frequency and x is wavelength. Substitute the frequency 3 × 10^9: 3 × 10^9 = (3 × 10^8)/x, so x = (3 × 10^8)/(3 × 10^9) = 10^-1 meters. The wavelength is 1 × 10^-1 m, choice A.

AI-written and checked against the verified answer.

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