Answer all questions, For answer C make sure to explain your reasoning.

The following table shows the income tax T owed in a certain state as a function I = Taxable income | T = Tax owed of the taxable income I, both measured in dollars. (2) Make a table showing, for each of the intervals in the tax table above, the average rate of change in T. (Round your answers to three decimal places.) Interval 16,000 to 16,200 | 16,200 to 16,400 | 16,400 to 16,600 Rate of change (b) Describe the general trend in the average rate of change. The average rate of change increases at a decreasing rate. The average rate of change increases at a constant rate. The average rate of change decreases at a constant rate. The average rate of change is constant. What does this mean in fractical terms? This suggests that, for every increase of $1 in taxable income the tax owed increases by a smaller amount for the lower income levels in the table than for the higher income levels In the table. ome the tax owed Increases by the same amount. xable income the tax owed increases by a smaller amoun This suggests that, at every income level in the table, This suggests that, at every income level in the table, for every increase of $1 in taxable inc This suggests that, for every increase of $1 in ta: t for the higher income levels in the table than for the lower income levels in the table. for every increase of $1 in taxable income the tax owed decreases by the same amount. (c) Would you expect T to have a limiting value? Yes -