Answer:
y = 56
Step-by-step explanation:
given that x and y are proportional then
y = kx ← k is the constant of proportionality
to find k use the given condition y = 14 when x = 8
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{14}{8}[/tex] = [tex]\frac{7}{4}[/tex], thus
y = [tex]\frac{7x}{4}[/tex]
when x = 32
y = [tex]\frac{7(32)}{4}[/tex] = 56