Answer:
y = 16
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex]
To find k use the condition y = 14 when x = 8, thus
14 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )
112 = k
y = [tex]\frac{112}{x}[/tex] ← equation of variation
When x = 7, then
y = [tex]\frac{112}{7}[/tex] = 16
