Worksheet: Joint Variation

In this worksheet, we will practice writing an equation to describe joint variation and using proportions to find other sets of values to solve real-world problems.

Q1:

𝑦 varies jointly as 𝑥 and the cube root of 𝑧. If 𝑦=120 when 𝑥=5 and 𝑧=8, find 𝑦 when 𝑥=10 and 𝑧=64.

Q2:

𝑦 varies jointly as 𝑥 and 𝑧. If 𝑦=15 when 𝑥=9 and 𝑧=8, find 𝑦 when 𝑥=16 and 𝑧=9.

Q3:

𝑦 varies jointly as 𝑥 and the square of 𝑧. If 𝑦=18 when 𝑥=2 and 𝑧=3, find 𝑦 when 𝑥=6 and 𝑧=7.

Q4:

Given that 𝑧 varies jointly with 𝑥 and 𝑦, such that 𝑧=12𝑥𝑦, find 𝑥 when 𝑦=1 and 𝑧=2.

  • A𝑥=14
  • B𝑥=1
  • C𝑥=2
  • D𝑥=12
  • E𝑥=4

Q5:

What is joint variation?

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