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Direct and Inverse Variation

Question 9 • VT-VA-EOC-SOL-Algebra I: Functions and Statistics

A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 hertz. | What is the type of variation between pitch and wavelength? | What is the pitch when the wavelength is 5 feet? | hertz

Answer
A
converse variation
B
direct variation
C
inverse variation

Explanation

Pitch and wavelength vary inversely because their products are equal: 220 × 3 = 660 and 165 × 4 = 660. So the pitch times the wavelength stays 660. At a wavelength of 5 feet, the pitch is 660 ÷ 5 = 132 hertz. This is inverse variation, also called converse variation.

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