The following table shows the income tax T owed in a certain state as a function of the taxable income I, both measured in dollars. I = Taxable income 16.000 16,200 16,400 T = Tax owed 872 889 906 16,600 923 (a) Make a table showing, for each of the intervals in the tax table above, the average rate of change in 7. (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. O The average rate of change increases at a constant rate. O The average rate of change is constant. O The average rate of change increases at a decreasing rate. O The average rate of change decreases at a constant rate. What does this mean in practical terms? O 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. O This suggests that, for every increase of $1 in taxable income the tax owed increases by a smaller amount for the higher income levels in the table than for the lower income levels in the table. O This suggests that, at every income level in the table, for every increase of $1 in taxable income the tax owed increases by the same amount. O This suggests that, at every income level in the table, for every increase of $1 in taxable income the tax owed decreases by the same amount.
The following table shows the income tax T owed in a certain state as a function of the taxable income I, both measured in dollars. I = Taxable income 16.000 16,200 16,400 T = Tax owed 872 889 906 16,600 923 (a) Make a table showing, for each of the intervals in the tax table above, the average rate of change in 7. (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. O The average rate of change increases at a constant rate. O The average rate of change is constant. O The average rate of change increases at a decreasing rate. O The average rate of change decreases at a constant rate. What does this mean in practical terms? O 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. O This suggests that, for every increase of $1 in taxable income the tax owed increases by a smaller amount for the higher income levels in the table than for the lower income levels in the table. O This suggests that, at every income level in the table, for every increase of $1 in taxable income the tax owed increases by the same amount. O This suggests that, at every income level in the table, for every increase of $1 in taxable income the tax owed decreases by the same amount.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The following table shows the income tax 7 owed in a certain state as a function of the taxable income I, both measured in dollars.
I = Taxable income
16,000
16,200
16,400
T = Tax owed
872
889
906
16,600
923
(a) Make a table showing, for each of the intervals in the tax table above, the average rate of change in 7. (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.
O The average rate of change increases at a constant rate.
O The average rate of change is constant.
O The average rate of change increases at a decreasing rate.
O The average rate of change decreases at a constant rate.
what does this mean in practical terms?
O 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.
O This suggests that, for every increase of $1 in taxable income the tax owed increases by a smaller amount for the higher income levels in the table than for the lower income levels in the table.
O This suggests that, at every income level in the table, for every increase of $1 in taxable income the tax owed increases by the same amount.
O This suggests that, at every income level in the table, for every increase of $1 in taxable income the tax owed decreases by the same amount.
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