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

Question

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

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Vân Khánh 5 months 2021-08-27T21:07:48+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-08-27T21:08:56+00:00

    Answer:

    t = – 24

    Step-by-step explanation:

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

    t = \frac{k}{a} ← k is the constant of variation

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

    2 = \frac{k}{-4} ( multiply both sides by – 4 )

    – 8 = k

    t = \frac{-8}{a} ← equation of variation

    When a = \frac{1}{3} , then

    t = \frac{-8}{\frac{1}{3} } = – 24

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