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3241004551 [841]
3 years ago
11

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

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

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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