Answer for the first box = 5
Answer for the second box = 60
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Step-by-step explanation:
We're told that x = 3 and y = 15 pair up together.
Direct variation equations are always in the form y = kx, for some real number k. Finding this k value will fill in the first box.
y = kx
15 = k*3 ... replace x with 3 and y with 15
3k = 15
k = 15/3 ... divide both sides by 3
k = 5
So that's why 5 goes in the first box.
The equation y = kx updates to y = 5x
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After we figured out k, we can find y when x = 12
y = 5x
y = 5*12
y = 60
So that's why 60 goes in the second box.