Answer:
a. For [tex]x=0.5[/tex]→ [tex]y=36[/tex]
b. For [tex]x=1[/tex]→ [tex]y=18[/tex]
c. For [tex]x=2[/tex]→ [tex]y=9[/tex]
d. For [tex]x=3[/tex]→ [tex]y=6[/tex]
Step-by-step explanation:
Since the variables "x" and "y" are inversely related, the equation has the following form:
[tex]y=\frac{k}{x}[/tex]
Where "k" is the constant of variation.
In this case we know that:
[tex]k=18[/tex]
So, the equation is:
[tex]y=\frac{18}{x}[/tex]
Therefore, substituting the given values of "x" into the equation, we get:
a. For [tex]x=0.5[/tex]→ [tex]y=\frac{18}{0.5}=36[/tex]
b. For [tex]x=1[/tex]→ [tex]y=\frac{18}{1}=18[/tex]
c. For [tex]x=2[/tex]→ [tex]y=\frac{18}{2}=9[/tex]
d. For [tex]x=3[/tex]→ [tex]y=\frac{18}{3}=6[/tex]
