To maintain the equivalent ratio seen in the given data points \((2, 8)\), \((3, 12)\), \((4, 16)\), and \((5, 20)\), we need to analyze the relationship between \(x\) and \(y\).
From the data points:
- For \((2, 8)\), the ratio is \( \frac{8}{2} = 4\)
- For \((3, 12)\), the ratio is \( \frac{12}{3} = 4\)
- For \((4, 16)\), the ratio is \( \frac{16}{4} = 4\)
- For \((5, 20)\), the ratio is \( \frac{20}{5} = 4\)
Thus, all presented points maintain the ratio of \(4\) (that is, \(y = 4x\)).
We need to find a point \((x, y)\) that also satisfies \(y = 4x\).
Now let's check the options:
- \((1, 3)\): \(y = 4(1) = 4\) (not equal to 3, so this does not maintain the ratio)
- \((4, 1)\): \(y = 4(4) = 16\) (not equal to 1, so this does not maintain the ratio)
- \((1, 4)\): \(y = 4(1) = 4\) (this maintains the ratio)
- \((0, 4)\): \(y = 4(0) = 0\) (not equal to 4, so this does not maintain the ratio)
The correct coordinate pair to plot on the coordinate plane so the ratio stays equivalent is:
(1, 4)