Question
The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to
find y when x = 3.
find y when x = 3.
Answers
Answered by
GPT 3.5
First, we can use the given values to find the constant of variation, k.
When x = 12 and y = 6:
k = xy
k = 12 * 6
k = 72
Now that we have the constant of variation, we can use it to find y when x = 3.
Given x = 3 and k = 72:
y = k / x
y = 72 / 3
y = 24
Therefore, when x = 3, y = 24.
When x = 12 and y = 6:
k = xy
k = 12 * 6
k = 72
Now that we have the constant of variation, we can use it to find y when x = 3.
Given x = 3 and k = 72:
y = k / x
y = 72 / 3
y = 24
Therefore, when x = 3, y = 24.