[tex]\large{\text{Refer\:to\:explanation\:pls}}[/tex]
If y varies inversely with x, we divide :
y = [tex]^k/_x[/tex]
Where
k = constant of proportionality
We are given that :
y = 0.5
x = 24
So we write :
0.5 = [tex]\Large\text{$^k/_{24}$}[/tex]
Multiply by 24 on [tex]\Large{\text{both\:sides\::}}[/tex]
12=k
[tex]\Large{\text{The\:constant\:of\:proportionality\:is\:12.}}[/tex]
y = 12/x
[tex]\footnotesize{\text{hope\:helpful}}[/tex]