No.050 Inverse Proportion Table
POINT
For inverse proportion, y = a/x. Multiply any known pair of x and y values to find a = xy, then complete the table.
Example
y is inversely proportional to x. Answer the following questions.
Express y in terms of x.
Find the values of A〜D.
| x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | … | 6 |
|---|---|---|---|---|---|---|---|---|---|
| y | A | -3 | B | × | 6 | 3 | C | … | D |
Practice
y = a/x · a = xy
01
y is inversely proportional to x. Answer the following questions.
Express y in terms of x.
Find the values of A,B.
| x | -4 | -2 | -1 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|
| y | A | -3 | -6 | 6 | 3 | B |
y = 6/x; A = −3/2; B = 3/2
Use a = xy and y = a/x.
02
y is inversely proportional to x. Answer the following questions.
Express y in terms of x.
Find the values of A,B.
| x | -6 | -3 | -2 | 2 | 3 | 6 |
|---|---|---|---|---|---|---|
| y | -2 | A | -6 | 6 | B | 2 |
y = 12/x; A = −4; B = 4
Use a = xy and y = a/x.
03
y is inversely proportional to x. Answer the following questions.
Express y in terms of x.
Find the values of A,B.
| x | -8 | -4 | -2 | 2 | 4 | 8 |
|---|---|---|---|---|---|---|
| y | A | -2 | -4 | 4 | 2 | B |
y = 8/x; A = −1; B = 1
Use a = xy and y = a/x.
04
y is inversely proportional to x. Answer the following questions.
Express y in terms of x.
Find the values of A,B.
| x | -5 | -2 | -1 | 1 | 2 | 5 |
|---|---|---|---|---|---|---|
| y | -2 | A | -10 | 10 | B | 2 |
y = 10/x; A = −5; B = 5
Use a = xy and y = a/x.
05
y is inversely proportional to x. Answer the following questions.
Express y in terms of x.
Find the values of A,B.
| x | -12 | -6 | -3 | 3 | 6 | 12 |
|---|---|---|---|---|---|---|
| y | -1 | -2 | A | B | 2 | 1 |
y = 12/x; A = −4; B = 4
Use a = xy and y = a/x.
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