Assume that y varies inversely with x. If y = 3.75 when x = 9, what is x when y = 6.75?

Andreasihf

Andreasihf

Answered question

2022-09-02

Assume that y varies inversely with x. If y = 3.75 when x = 9, what is x when y = 6.75?

Answer & Explanation

Andrejkoxg

Andrejkoxg

Beginner2022-09-03Added 20 answers

If y varies inversely as x, this means y  1 x i.e. y = k × 1 x , where k is a fixed value(constant)
Therefore, xy=k
Now as y=3.75, when x=9,
k = 9 × 3.75 = 33.75 
And so if y=6.75,
x = k y = 33.75 6.75 
3375 675 
3 × 3 × 3 × 5 × 5 × 5 3 × 3 × 3 × 5 × 5 
= 5

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