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If m varies directly with t, and m = 4 when t = 12, what is the value of t when m = 12?
O4
O20
O24
O36

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t = 36

Step-by-step explanation:

given that m varies directly with t then the equation relating them is

m = kt ← k is the constant of variation

to find k use the condition m = 4 when t = 12 , then

4 = 12k ( divide both sides by 12 )

$$\frac{4}{12}$$ = k , that is

k = $$\frac{1}{3}$$

m = $$\frac{1}{3}$$ t ← equation of variation

when m = 12 , then

12 = $$\frac{1}{3}$$ t ( multiply both sides by 3 to clear the fraction )

36 = t
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