Answer: Yes we have a direct proportional relationship
constant of proportionality = 8
equation is y = 8x
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Step-by-step explanation:
Divide each x and y pair like so: y/x
If we get the same result each time, then we have a direct proportion.
y/x = 32/4 = 8
y/x = 56/7 = 8
y/x = 96/12 = 8
Each time we get the same result 8, which is the constant of proportionality. The table does show a direct proportional relationship. The equation is y = 8x which is in the form y = kx. The k value is the constant of proportionality. So k = y/x.