If y is inversely proportional to x, and y=8 when x=2, find y when x=5
y = k/x
8 = k/2
k = 16
y = 16/5
To find y when x=5 in an inverse variation relationship, you can use the formula for inverse variation:
y = k/x
where k is a constant.
First, we need to find the value of k. We are given that when x=2, y=8. Plugging these values into the formula:
8 = k/2
To solve for k, we can cross-multiply and then solve for k:
8 * 2 = k
16 = k
Now that we have the value of k, we can substitute it back into the formula to find y when x=5:
y = 16 / 5
Evaluating this expression:
y = 3.2
Therefore, when x=5, y is equal to 3.2.