Respuesta :

Answer:

B

Step-by-step explanation:

given that x and y vary inversely then the equation relating them is

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

to find k use the condition y is 24 when x is 8 , then

24 = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 to clear the fraction )

192 = k

y = [tex]\frac{192}{x}[/tex] ← equation of variation

when y = 18 , then

18 = [tex]\frac{192}{x}[/tex] ( multiply both sides by x )

18x = 192 ( divide both sides by 18 )

x = [tex]\frac{192}{18}[/tex] = [tex]\frac{32}{3}[/tex]

jcherry99

Answer:

Step-by-step explanation:

Write the inverse variation

y = k/x

Solve for k

y = 24

x = 8

y = k/x           Substitute the givens into this equation

24 = k/8        Multiply both sides by 8

8*24 = k

k = 192

Solve for x  when y = 18

y = k/x            Multiply both sides by x

xy = k             Divide by y

x = k/y

x = 192/18

x = 10 2/3       The answer is given as an improper fraction.

x = (10*3 + 2)/3

Answer: x = 32/3

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