lay78 lay78
  • 23-05-2019
  • Mathematics
contestada

r varies inversely with x . if r= -2 when x=6 what is the value of r when x= -3?

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jimrgrant1 jimrgrant1
  • 23-05-2019

Answer:

r = 4

Step-by-step explanation:

Given that r varies inversely with x then the equation relating them is

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

To find k use the condition r = - 2 when x = 6

k = rx = - 2 × 6 = - 12

r = [tex]\frac{-12}{x}[/tex] ← equation of variation

When x = - 3, then

r = [tex]\frac{-12}{-3}[/tex] = 4

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