Answer:
Correct choice: a. k = 13.5; xy = 13.5
Step-by-step explanation:
Inverse Proportion
Two variables x and y are in inverse proportion or variation if:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of proportionality
Since we know that y=4.5 when x=3:
[tex]\displaystyle 4.5=\frac{k}{3}[/tex]
Solving for k:
[tex]k = 4.5*3 = 13.5[/tex]
Thus the equation is:
[tex]\displaystyle y=\frac{13.5}{x}[/tex]
Or, equivalently:
[tex]xy = 13.5[/tex]
Correct choice: a. k = 13.5; xy = 13.5
