Question

Does the table show a direct proportional relationship? If so, what is the constant of proportionality? X 4 7 12 Y 32 56 96

Answer 1

Answer: Yes we have a direct proportional relationship

constant of proportionality = 8

equation is y = 8x

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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.