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The variables a and b vary directly, and b=8 when a=2.

What is the direct variation equation that relates a and b?

A.

b=2a.

B.

b-4a

C

b=8a

D

b=16a

User Pnemonic
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1 Answer

4 votes

Answer: b= 4a

( This is the correct answer, which is supposed to be option b, but a negative sign was put instead of an equal sign, so you can change appropriately)

Explanation:

Given that a and b vary directly, can be expressed as

a ∝ b

Introducing the constant of proportionality, k, we have that

a = kb

so when a= 2, b= 8 and the constant becomes

2 = k8

k = 2/8=1/ 4

a= 1/4b

Such that

b=4a

User Paolo
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4.7k points