Which table could be a partial set of values for a linear function?x y0 01 22 83 18x y0 31 52 73 9x y0 91 82 53 0x y0 11 22 53 10

Answer:The second tableStep-by-step explanation:When x-values are uniformly spaced (1 apart, for example), y-values are also uniformly spaced (have a common difference) when the function is linear.The second table shows a common difference of 2 between y-values, so that function is linear._____Table 1 differences are 2, 6, 10, so is likely quadratic.Table 3 differences are -1, -3, -5, so is likely quadratic.Table 4 differences are 1, 3, 5, so that one, too, is likely quadratic._____Comment on differencesWe call the differences between table values the "first differences." Then the differences between those are "second differences." Differences between the  "n-1-th" differences are called the "n-th" differences. When n-th differences are constant (and not zero), the table values can be represented by a polynomial of n-th degree.Hence when 1st differences are constant, the table represents a 1st-degree (linear) function. When 2nd differences are constant, the table represents a quadratic function.