CronixLV
Answered

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For the data in the table, tell whether y varies directly with x . If it does, write an equation for the direct variation.

x y
2 -6.6
3 -9.9
4 -13.2
5 -16.5

yes; y = x – 3.3

no

yes;

yes; y = –3.3x

Sagot :

Answer:

yes , y = - 3.3x

Step-by-step explanation:

if y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation , then

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

checking k for each ordered pair in the table

[tex]\frac{-6.6}{2}[/tex] = - 3.3

[tex]\frac{-9.9}{3}[/tex] = - 3.3

[tex]\frac{-13.2}{4}[/tex] = - 3.3

[tex]\frac{-16.5}{5}[/tex] = - 3.3

thus k = - 3.3

so y varies directly with x and the equation of direct variation is

y = - 3.3x

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