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Suppose that w and tvary inversely and that t = 1/5 when w = 4 Write a function that models the inverse variation, and find when w = 9; O I = 1 5w ; 4 45; O t = 1 s 00 ; 1 5; O t = 1 20w ; 1 80; O t = 4 5w ; 4 45

Sagot :

MrRoyal

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

How to determine the equation

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:

https://brainly.com/question/1327394

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