Respuesta :
If y in inversely proportional to x
[tex]y=k* \frac{1}{x} [/tex]
And for:
y=4.5 and x=3 :
[tex]4.5=k* \frac{1}{3} \\~\\ k= \frac{27}{2} =13.5[/tex]
[tex]y=k* \frac{1}{x} [/tex]
And for:
y=4.5 and x=3 :
[tex]4.5=k* \frac{1}{3} \\~\\ k= \frac{27}{2} =13.5[/tex]
Answer:
k = 13.5
xy = 13.5
Step-by-step explanation:
Inverse variation states:
If [tex]y \propto \frac{1}{x}[/tex]
then, the equation is in the form of:
[tex]y = \frac{k}{x}[/tex] where, k si the constant of variation.
or xy = k ......[1]
As per the statement:
Given: y = 4.5 and x = 3
Using the definition of inverse variation, solve for k;
Substitute the given values in [1] we have;
[tex]4.5 \cdot 3 =k[/tex]
⇒13.5 = k
then, we get equation:
[tex]xy = 13.5[/tex]
Therefore, the constant of variation(k) is, 13.5 and an equation for the inverse variation is, xy = 13.5
