U is jointly proportional to V and W. Let k be the constant proportionality. If U = 4 when V = 8 and W = 6, find the value of k
Well, if U is jointly proportional to V and W, we can write the equation as U = k * V * W. Now, let's plug in the given values:
4 = k * 8 * 6
To find the value of k, we can rearrange the equation a bit:
k = 4 / (8 * 6)
k = 4 / 48
k = 1/12
So the value of k is 1/12. It's a small fraction, just like my chances of winning a staring contest with a mirror.
To find the value of k, we can use the given information that U is jointly proportional to V and W. This means that we can write a proportionality equation as:
U = kVW
We are also given that when U = 4, V = 8, and W = 6. Plugging in these values into the equation, we get:
4 = k * 8 * 6
Now, we can solve for k by dividing both sides of the equation by 8 and 6:
4 / (8 * 6) = k
Simplifying the right side of the equation gives us:
4 / 48 = k
Now, we can simplify the fraction on the left side:
1 / 12 = k
Therefore, the value of k is 1/12.
To find the value of the constant of proportionality, k, we can use the given values of U, V, and W.
The statement "U is jointly proportional to V and W" can be represented by the equation:
U = kVW
We are also given that U = 4 when V = 8 and W = 6. We can substitute these values into the equation to solve for k:
4 = k * 8 * 6
Now we can solve for k by dividing both sides of the equation by 48:
4/48 = k * 48/48
1/12 = k
Therefore, the value of k is 1/12.
U = kVW
4 = k*8*6
4 = 48k
k = 1/12
Not too hard, eh?