Answer:
x = 1
Step-by-step explanation:
Given that 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 y = 5 when x = 3
k = yx = 5 × 3 = 15, thus
y = [tex]\frac{15}{x}[/tex] ← equation of variation
When y = 15 then
15 = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )
15x = 15 ( divide both sides by 15 )
x = 1
