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If t varies inversely as a and t= 2 when a = -4, what is t when a = 1/3?

1. -2 2/3
2. -24
3. - 1/6
4. -2/3

1 Answer

5 votes

Answer:

t = - 24

Explanation:

Given t varies inversely as a then the equation relating them is

t =
(k)/(a) ← k is the constant of variation

To find k use the condition t = 2 when a = - 4

2 =
(k)/(-4) ( multiply both sides by - 4 )

- 8 = k

t =
(-8)/(a) ← equation of variation

When a =
(1)/(3) , then

t =
(-8)/((1)/(3) ) = - 24

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