Find the constant of variation k for inverse variation. Then write an equation for the inverse variation. y = 5 when x = 7.5 k = 37.5; y = 37.5/x k = 15; xy = 1.5 k = 2.5; y = 2.5/x k = 37.5; y=37.5x

Question

Mathematics

Naomi Pruitt

30 November, 04:18

Find the constant of variation k for inverse variation. Then write an equation for the inverse variation. y = 5 when x = 7.5 k = 37.5; y = 37.5/x k = 15; xy = 1.5 k = 2.5; y = 2.5/x k = 37.5; y=37.5x

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Killian Cline · Answer 1

Direct variation has this formula: y = kx

inverse variation has this formula: y = k/x

y = 5; x = 7.5; k = 37.5

y = k/x ⇒ 5 = 37.5 / 7.5 ⇒ y = 37.5/x