Assume that the variables x and y are inversely related. If k = 18, what is the value of y for each of the following points? Be sure and record your data to be used in the following problem. x y k 1 18 2 18 3 18 6 18 9 18 18 18

Respuesta :

Answer:

x 1 2 3 6 9 18

y 18 9 6 3 2 1

k 18 18 18 18 18 18

Step-by-step explanation:

From the question, [tex]x[/tex] and [tex]y[/tex] are inversely related.

[tex]x\propto \frac{1}{y}[/tex]

[tex]x= \frac{k}{y}[/tex]

Since [tex]k=18[/tex],

[tex]x= \frac{18}{y}[/tex]

[tex]y= \frac{18}{x}[/tex]

Setting the different values of [tex]x[/tex],

At [tex]x= 1[/tex], [tex]y= \frac{18}{1}=18[/tex].

At [tex]x= 2[/tex], [tex]y= \frac{18}{2}=9[/tex].

At [tex]x= 3[/tex], [tex]y= \frac{18}{3}=6[/tex].

At [tex]x= 6[/tex], [tex]y= \frac{18}{6}=3[/tex].

At [tex]x= 9[/tex], [tex]y= \frac{18}{9}=2[/tex].

At [tex]x= 18[/tex], [tex]y= \frac{18}{18}=1[/tex].

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