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If y varies inversely as x and y=6 when x=8 find y when x=7

1 Answer

7 votes

Answer:

y = 5 1/4

Explanation:

For direct or inverse variation relation

relation between two variable and y can be expresses in form of

y = kx where k is constant of proportionality .

Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality

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Thus, let the inverse relation be

y = kx

given

when y = 6 then x = 8

we will plug this value in y = kx

6 = k*8

=>k = 6/8 = 3/4

Thus,

relation is

y = 3/4 x

we have to find y when x = 7 ,

lets put x = 7 in y = 3/4 x

y = 3/4 *7 = 21/4 = 5 1/4

Thus, when x = 7 then y = 5 1/4

User Vijay
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