The equation is y = ₋20/x and when x = 3 then y = ₋ 6.6 .
Given x and y vary inversely.
The relationships between variables that are expressed as y = k/x, where x and y are two variables and k is a constant value, are known as inverse variation. According to this statement, if the value of one item rises, the value of the other quantity falls.
the value of x is = 3, we need to find the value of y.
then when x = 5 and y = ₋4
If y varies inversely as x then:
x × y = k (for some constant c)
If (x,y) = (5,₋4) then:
5 × ₋4 = k
₋20 = k
Therefore, xy = ₋20
then, y = ₋20/x ; is the equation of y.
when x = 3, then:
y = ₋20/3 or y = 6.6
Hence we get the required equation of y and the value of when x = 3 as y=₋20/x and y = ₋20/3 or y = 6.6
Learn more about Inverse variation models here:
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