Final Answer:
The age amount he will qualify is B) $2940
Step-by-step explanation:
Robert qualifies for the age amount, given that he is 66 years old and his taxable income for 2017 is $65,000. The threshold income for the age amount is $36,430, and the maximum age amount is $7,225. To calculate the age amount, we first determine the amount by which Robert's taxable income exceeds the threshold.
Threshold income = $65,000 - $36,430 = $28,570
Next, we calculate the age amount using the formula:
![\[ \text{Age Amount} = \text{Maximum Age Amount} - (\text{Threshold Income} * 15\%) \]](https://img.qammunity.org/2024/formulas/business/high-school/8pusmfen6plxujfmuh2sk18lm2plfqki4s.png)
![\[ \text{Age Amount} = $7,225 - ($28,570 * 15\%) \]](https://img.qammunity.org/2024/formulas/business/high-school/95qiy8bk46er0azb0ggu5lor8v1bso9po3.png)
![\[ \text{Age Amount} = $7,225 - $4,285.50 \]](https://img.qammunity.org/2024/formulas/business/high-school/wxkr69p5xis2vrqtgne6lsg1t563jmbk58.png)
![\[ \text{Age Amount} = $2,939.50 \]](https://img.qammunity.org/2024/formulas/business/high-school/2ctnd7oryhyvv3z62uwneea1gogvdknq1o.png)
Rounded to the nearest whole number, Robert qualifies for an age amount of $2,940. Therefore, the correct answer is B) $2,940.
In summary, Robert will qualify for an age amount of $2,940, which is obtained by subtracting 15% of the amount by which his taxable income exceeds the threshold from the maximum age amount. This calculation ensures that the age amount is progressively reduced as income surpasses the threshold, resulting in a final benefit based on the individual's financial situation.