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(10 points also!)

If X varies inversely with y and x =6 when equals Y= 10, find y when x=8


A. Y=4.8

B. Y=7.5

C. Y=40/3

D. Y=4/15

Respuesta :

Answer:

B

Step-by-step explanation:

given x varies inversely with y, the the equation relating them is

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

To find k use the condition x = 6 when y = 10, hence

k = xy = 6 × 10 = 60

x = [tex]\frac{60}{y}[/tex] ← equation of variation

When x = 8, then

8 × y = 60 ( divide both sides by 8 )

y = [tex]\frac{60}{8}[/tex] = 7.5 → B