Final answer:
In a scenario where x and y are directly proportional, we first find the constant of proportionality (k) using the given values, and then calculate y for the new value of x. When x is 12, y is 72, giving us k=6. Using k, we find that when x is 10, y is 60.
Step-by-step explanation:
If x and y are in direct proportion, it means that as x increases or decreases, y increases or decreases by the same factor. Given that y is 72 when x is 12, we can write this relationship as y = kx, where k is the constant of proportionality. To find k, substitute the given values:
72 = k × 12
k = 72 / 12
k = 6
Now that we know the constant of proportionality is 6, we can find y when x is 10:
y = k × x
y = 6 × 10
y = 60
Therefore, when x is 10, y will be 60.