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If b is directly promotional to a and b=3 when a=28,find the value of b when a=24

User Derpface
by
8.4k points

1 Answer

3 votes

Answer:

b =
(18)/(7)

Explanation:

given b is directly proportional to a , then the equation relating them is

b = ka ← k is the constant of proportionality

to find k , substitute b = 3, a = 28 into the equation

3 = 28k ( divide both sides by 28 )


(3)/(28) = k

b =
(3)/(28) a ← equation of proportionality

to find b when a = 24 , substitute a = 24 into the equation

b =
(3)/(28) × 24 ( cancel 28 and 24 by 4 )

b =
(3)/(7) × 6 =
(3(6))/(7) =
(18)/(7)

User Stanimirsp
by
8.1k points

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