faith3897 faith3897

07-01-2020
Mathematics

contestada

If the value of "y" varies directly with "x"
and y = -1 when x = 3, find "y" if x = 9.
Enter the number that belongs in the green box.
y = [?]

Respuesta :

jimrgrant1 jimrgrant1

07-01-2020

Answer:

y = - 3

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 1 when x = 3, then

k = [tex]\frac{y}{x}[/tex] = - [tex]\frac{1}{3}[/tex], thus

y = - [tex]\frac{1}{3}[/tex] x ← is the equation of variation

When x = 9, then

y = - [tex]\frac{1}{3}[/tex] × 9 = - 3

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