Respuesta :

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