The equation that represents the proportional relationship shown in the table of values is y = 4x based on the given parameters
Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
The table of values is given as:
x 2 3 7
y 8 12 28
From the above table of values, we can see that the values on the y row are the results of multiplying 4 and values on the x rows
i.e. 8 = 4 * 2, 12 = 4 * 3 and 28 = 4 * 7
So, we have:
y = 4 * x
Evaluate
y = 4x
Based on the given parameters, the equation that represents the proportional relationship shown in the table of values is y = 4x
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