The variables x and y vary inversely. Use x=−3 and y=4 to write an equation relating x and y. Then find y when x=6 .

Question

asked May 3, 2024 234k views

1 Answer

Highwingers · Answer 1 · 2024-05-08T13:40:45+0000

Explanation:

If x and y vary inversely, we can write the equation:

xy = k

where k is a constant of proportionality. To solve for k, we can use the values x = -3 and y = 4:

(-3)(4) = k

-12 = k

So the equation relating x and y is:

xy = -12

To find y when x = 6, we can plug in these values and solve for y:

(6)y = -12

y = -2

So when x = 6, y = -2.