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F is proportional to a If F = 36 when a = 9 find, a when F = 32

Sagot :

Answer:

a = 8

Step-by-step explanation:

Given F is proportional to a then the equation relating them is

F = ka ← k is the constant of proportion

To find k use the condition F = 36 when a = 9

36 = 9k ( divide both sides by 9 )

4 = k

F= 4a ← equation of proportion

When F = 32 , then

32 = 4a ( divide both sides by 4 )

8 = a