taylorbohr3558 taylorbohr3558
  • 21-11-2018
  • Mathematics
contestada

The value of X and Y vary directly, and when X= 4 Y equals -10. Find the value of Y when X equals 10.

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jimrgrant1 jimrgrant1
  • 21-11-2018

y = - 25

since x varies directly with y then we can express the relationship as

x = ky ← k is the constant of variation

to find k use the given condition y = - 10 when x = 4

k = [tex]\frac{x}{y}[/tex] = [tex]\frac{4}{-10}[/tex] = - [tex]\frac{2}{5}[/tex]

hence x = - [tex]\frac{2}{5}[/tex] y

when x = 10

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

multiply both sides by - 5 and divide both sides by 2 )

- 50 =  2y ⇒ y = - 25


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