vaneeegarcia206 vaneeegarcia206
  • 01-08-2020
  • Mathematics
contestada

Does the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table x 6,8,12,20 y 9,12,18,30

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jimrgrant1 jimrgrant1
  • 01-08-2020

Answer:

direct variation

Step-by-step explanation:

For direct variation k = [tex]\frac{y}{x}[/tex] ← k is the constant of variation

For inverse variation k = yx

Expressing the data as ordered pairs

(6, 9), (8, 12), (12, 18), (20, 30)

k = [tex]\frac{9}{6}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{18}{12}[/tex] = [tex]\frac{30}{20}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5 ← indicating direct variation

Equation is

y = kx = 1.5x

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