Respuesta :

Answer:

x = 1/5.

Step-by-step explanation:

y = k/x  where k is a constant.

When y = 6, x = 2 so we have:

6 = k/2

k = 12.

So the relation is y = 12/x.

When y = 60:

60 = 12/x

6x = 12

x = 12/60

x = 1/5.

Answer:

x = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Given that y varies inversely as x 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 = 6 when x = 2, then

k = yx = 6 × 2 = 12

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

When y = 60, then

60 = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

60x = 12 ( divide both sides by 60 )

x = [tex]\frac{12}{60}[/tex] = [tex]\frac{1}{5}[/tex]

Otras preguntas