Respuesta :

Answer:

y = 42

Step-by-step explanation:

given y varies as x then

y = kx ← k is the constant of variation

to find k use the given condition y = 21 when x = 8

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{21}{8}[/tex], hence

y = [tex]\frac{21x}{8}[/tex]

when x = 8 then y = [tex]\frac{21(16)}{8}[/tex] = 42