A variation can be direct, inverse or joint
The function of the variation is [tex]tw = 4/5[/tex], and the value of t when w = 9 is 4/45
Given that w and t vary inversely, then it means that:
tw = k
Where, k is the constant of variation
t = 1/5 when w = 4.
So, we have:
[tex]1/5 * 4 = k[/tex]
This gives
[tex]4/5 = k[/tex]
Rewrite as:
[tex]k = 4/5[/tex]
Recall that:
tw = k
So, we have:
[tex]tw = 4/5[/tex]
When w = 9, the equation becomes
9t = 4/5
Divide both sides by 9
[tex]t = 4/45[/tex]
Hence, the function of the variation is [tex]tw = 4/5[/tex], and the value of t when w = 9 is 4/45
Read more about inverse variation at:
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