suppose that x and y vary inversely, and x=9 when y=8. Write the function that models the inverse variation.
Mathematics · Thu Apr 21 2022
Answered on
the variation equation is x.y = 72
As , x is inversly proportional to y
OR
x = k.1/y ------------- eq [1]
Now , x = 9 and y = 8
so , putting the values of x and y in eq 1 we get ,
9 = k.1/8 OR k = 72 ------------------ [ k is constant of proportionality ]
so the variation equation is x = 72 / y OR x.y = 72 [ ans ]
Answered on
Given taht
x and y varies inversely.
so meaning
x = k / y
when y=8 , x=9
9 = k / 8
so this will give us the value of k
k = 72
x = k/y
xy = k
y = k/x
y = 72 / x