Question

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If c varies directly as b and c = 6 when b = 2.
Find
a) the formula for c in terms of b

b) the value of c given b = 14

c) the value of b given c = 39

Answer 1

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Explanation:

a)

c=k*b (c varies directly as b)

6=k*2 ==> k=3 ( c = 6 when b = 2.)

`\boxed{c=3*b }\\`

b)

b=14 ==> c=3*14=42

c)

c=39

`b=(c)/(3) =(39)/(3) =13\\`