The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 2.

Question

1. x = 3, y = 12
2. x = 3/7, y = 7/6

Answer 1

1. 
   

y=k/x

12 =k/3

k = 36

y=36/x

y = 36/2 = 18 when x =2

2

x=3/7 y=7/6

y = k/x

7/6 = k/(3/7) = 7k/3

7k/3 = 7/6

k = (7/6)(3/7) = 1/2

y = (1/2)/x = 1/2x

y = 1/2x

check the answer

7/6 = 1/2(3/7) = 1/6/7 = 7/6