Answer:
x = 45/32
Step-by-step explanation:
The governing equation here is y = kx, where k is the constant of proportionality.
If y = 32 when x = 3, then we have 32 = k(3).
Dividing both sides by 3, we get k = 32/3.
Then the governing equation becomes
y = (32/3)x
If we now let y = 15 (given), then
15 = (32/3)x
Multiplying both sides by the reciprocal of 32/3, we get:
(3/32)(15) = (3/32)(32/3)x, or x = 45/32