Suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 2.5 when y = 100.

see explanation

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 x = 2.5 when y = 100

k = yx = 100 × 2.5 = 250

y = ← equation of variation

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

d. vertex

step-by-step explanation: