If y varies inversely as x and y=6 when x=2, what is x when y=60?
1/5
5
120

x =

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 6 when x = 2, then

k = yx = 6 × 2 = 12

y = ← equation of variation

When y = 60, then

60 = ( multiply both sides by x )

60x = 12 ( divide both sides by 60 )

x = =

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6