Y varies jointly as x and z. If y = 12 when x = 4 and z = 3, find y when x = 9 and z = 8.

Mathematics

1 answer:

saul85 [17]2 years ago

3 0

Answer:

y = 72

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 12 when x = 4 and z = 3

12 = k × 4 × 3 = 12k ( divide both sides by 12 )

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72

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