Question

If y varies inversely as x and y = 18 when x = 4, what is y when x = 24

Answer 1

In an inverse variation where y = 18 when x = 4, the constant is found to be 72. When x = 24, the value for y would then be 3.

Step-by-step explanation:

If y varies inversely as x, this means we have an inverse variation relationship where xy = k, and k is a constant. From the given, when x = 4, y = 18. Therefore, we can find the constant k by multiplying these two numbers together: k = 4 × 18 = 72.

Now, with the constant k known, we can find the value of y when x = 24. The equation becomes 24y = 72. Dividing both sides by 24 gives us y = 72 / 24 = 3.

Thus, when x = 24, the value of y is 3.

Answer 2

Well, you must first do your equation k=y/x so k= 18/4 or 9/2
now you use the equation y= kx or y= 9/2 times 24... 9/2 times 24 is 108 so y=108