Respuesta :

Answer:

y = 25

Step-by-step explanation:

Given that the quantities are proportional then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 10 when x = 6

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]

y = [tex]\frac{5}{3}[/tex] x ← equation of proportion

When x = 15, then

y = [tex]\frac{5}{3}[/tex] × 15 = 5 × 5 = 25