Answer:
a) x and y are not inversely proportional because for each value of x and y we don't get k=yx
b) x and y are inversely proportional because for each value of x and y we get k=yx
If x and y are inversely proportional enter the constant of proportion: 30
Explanation:
a) To check if x and y are proportional or not, we would find
For each value of x and y, their product should be equal to k a constant.
So,
x y k=yx
3 8 24
4 6 24
5 4.8 24
5.5 4 22
So, x and y are not inversely proportional because for each value of x and y we don't get k=yx
b) To check if x and y are proportional or not, we would find
For each value of x and y, their product should be equal to k a constant.
So,
x y k=yx
0.1 300 30
0.5 60 30
75 0.4 30
100 0.3 30
x and y are inversely proportional because for each value of x and y we get k=yx
If x and y are inversely proportional enter the constant of proportion: From above table we get k = 30 so, Constant of proportion is: 30