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The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?

User Jrushing
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Answer:

The equation which correctly relates x and y is y = 4x

Explanation:

The equation of the direct variation is y = k x, where

  • k is the constant of variation
  • To find the value of k, use the initial values of x and y

∵ The variables x and y vary directly

→ Use the form of the equation above

y = k x

∵ When x = 13, y = 52

→ That means the initial values of x and y are 13 and 52

x = 13 and y = 52

→ Substitute them in the equation above to find k

52 = k (13)

∴ 52 = 13k

→ Divide both sides by 13

4 = k

∴ The value of k is 4

→ Substitute it in the equation

y = 4x

The equation which correctly relates x and y is y = 4x

User Friol
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