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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
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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Mathematics
5 months
2021-08-27T21:07:48+00:00
2021-08-27T21:07:48+00:00 1 Answers
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Answers ( )
Answer:
t = – 24
Step-by-step explanation:
Given t varies inversely as a then the equation relating them is
t =
← k is the constant of variation
To find k use the condition t = 2 when a = – 4
2 =
( multiply both sides by – 4 )
– 8 = k
t =
← equation of variation
When a =
, then
t =
= – 24