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The amount of money Sally earns, P, varies directly with the number, n, of necklaces she sells. When Sally sells 15 necklaces, she earns $150. Write the equation that relates P and n. How much money would she earn if she sold 4 necklaces?

1 Answer

4 votes

Answer:

Equation:
P = 10n


P = 40 when n = 4

Explanation:

Given

Direct Variation: P ∝ n

When n = 15, P = 150

Required

Determine the equation

Her earnings if she sold 4 necklaces

P ∝ n

Convert variation to equation


P = kn

When P = 150, n = 15 (Substitute these values in the given equation)


150 = k * 15

Divide both sides by 15


(150)/(15) = (k * 15)/(15)


10 = k\\k = 10

Substitute k = 10 in
P = kn


P = 10 * n


P = 10n ------- Equation that relates P and n

When she sold 4 necklaces, n = 4

Substitute n = 4 in the formula above


P = 10 * 4


P = 40

User Neo Ko
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