V varies inversely with T and V = 18 when T = 3. Which equation shows this relationship?

kalkulusk2

kalkulusk2

Answered question

2022-09-03

V varies inversely with T and V = 18 when T = 3. Which equation shows this relationship?

Answer & Explanation

Shaniya Yang

Shaniya Yang

Beginner2022-09-04Added 5 answers

The question is stating that V has some relationship to 1 T
Let k be some constant.
Then V = k × 1 T ...............................(1)
We are told that when T=3;V=18
Substitute these values into equation (1) giving
18 = k × 1 3
Multiply both sides by 3 giving
3 × 18 = k × 3 3
But 3/3 = 1
54=k
So the relationship becomes.
V = k T
Or the other way round is just as true
T = k V

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