Answer:
B
Step-by-step explanation:
given x varies inversely with y, the the equation relating them is
x = [tex]\frac{k}{y}[/tex] ← k is the constant of variation
To find k use the condition x = 6 when y = 10, hence
k = xy = 6 × 10 = 60
x = [tex]\frac{60}{y}[/tex] ← equation of variation
When x = 8, then
8 × y = 60 ( divide both sides by 8 )
y = [tex]\frac{60}{8}[/tex] = 7.5 → B