jonestrishy6096 jonestrishy6096
  • 30-11-2018
  • Mathematics
contestada

The variables x and y vary directly, and y=10y=10 when x=2x=2. Write an equation that relates x and y. What is the result when x=9?

Respuesta :

jimrgrant1 jimrgrant1
  • 30-11-2018

Answer:

y = 5x and y = 45

Step-by-step explanation:

since x and y vary directly, then

y = kx ← k is the constant of variation

to find k use the given condition y = 10 when x = 2

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{10}{2}[/tex] = 5

⇒ y = 5x ← is the equation that relates x and y

when x = 9 then y = 5 × 9 = 45


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