unit 9 lesson 8 - inverse variation

If y varies inversely as x so that y = 2/3 when x = 3/4 , what will x be when y = 1?

1/2

If y varies inversely as x and the constant of proportionality is k = 1/3 , what is y when x = 3?

1/9

If y varies inversely as x so that y = 10 when x = 4 , what will x be when y = 4?

10

If y varies inversely as x so that y = 1.8 when x = 3.2 , what will x be when y = 0.5?

11.52

If y varies inversely as x and the constant of proportionality is k = 3 , what is y when x = 3/17?

17

If y varies inversely as x and the constant of proportionality is k = 3 , what is y when x = 17?

3/17

inverse variation

a relationship where one variable gets smaller as the other gets larger and the product of the two variables is a constant

If y varies inversely as x and y = 0.5 when x = 0.25 , write an equation describing this inverse variation.

xy = 0.125

If y varies inversely as x and y = 2 when x = 0.5 , write an equation describing this inverse variation.

xy = 1

If y varies inversely as x and y = 5/8 when x = 2/3 , write an equation describing this inverse variation.

xy = 5/12