Answer:
y = 10
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition x = 4 when y = 15 , then
15 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
60 = k
y = [tex]\frac{60}{x}[/tex] ← equation of variation
When x = 6 , then
y = [tex]\frac{60}{6}[/tex] = 10
