If y varies inversely with x, and y = 2 when x = 8, what is k, the constant of proportionality?

y = k/x

now just plug in your values:
2 = k/8
k=16

if y inversely x and y=20 when x=8 what is the constant of varition

To find the constant of proportionality, k, when y varies inversely with x, we can use the formula:

y = k/x

Given that y = 2 when x = 8, we can substitute these values into the equation:

2 = k/8

To solve for k, we can cross multiply:

2 * 8 = k * 1

16 = k

Therefore, the constant of proportionality, k, is 16.

To find the constant of proportionality (k) when y varies inversely with x, we can use the formula for inverse variation:

y = k/x

Given that y = 2 when x = 8, we can substitute these values into the formula:

2 = k/8

To solve for k, we can multiply both sides of the equation by 8:

16 = k

Therefore, the constant of proportionality (k) is 16.