Variations and rational functions

Question

2. The force required to move an object by a lever and fulcrum varies inversely with the distance from the fulcrum that the force is applied. If the force required to move the rock at a distance of 9 feet is 80 lbs, what would be the force required with a distance of 15 feet? Explain your thought process.

Answer 1

Force = constant divided by distance.

80 = k/9. Multiply by 9

k = 720

Force = 720 / 15

Force = 48

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Answer 2

d₁f₁ = d₂f₂

(9)(80) = (15)(f₂)

Can you solve for f₂ and answer?