Question

Assume that the variables x and y are inversely related. If k = 18, what is the value of y for each of the following points?

Be sure and record your data to be used in the following problem.
|X|  |Y| | K|
1_____18
2_____18
3_____18
6_____18
9_____18
18_____18

Answer 1

Answer: x y k

1 18 18

2 9 18

3 6 18

6 3 18

9 2 18

18 1 18

Step-by-step explanation:

Answer 2

The values of Y are: 18, 9, 6, 3, 2, 1

Step-by-step explanation:

It is given that X and Y are inversely related. This can be depicted mathematically as:

`X \alpha (1)/(Y)`

i.e. as X increases the value of Y is expected to decrease.

(or)
`X =k* (1)/(Y)`

where k = proportionality constant which is given as 18

In terms of Y, the above equation becomes:

`Y =k* (1)/(X)`

Based on the above equation the table can be filled as :

X Y K

1 18 18

2 9 18

3 6 18

6 3 18

9 2 18

18 1 18