Hht1 Task 1

HHT1 Task 1

Task A:

1. In order to find out if Student 1 has enough points to receive a 90% I have created a ratio below. The ratio is based on number of points required to get 100% and the number of points that Student 1 has earned.

334/100 = 299/k 334k=29900 k= 89.5209

89.5209 round to a whole number is 90. This happens because the 5 in tenths place means that you round the number up. Student 1 will receive an A with 299 points.

2. Student 1 would not achieve an A in the class if the teacher truncated the percentages. Using truncation all of the number after the whole would be dropped, so 89.5209 would become 89. As 90 is required to receive an A the student would not meet the requirement.

3. I would start out by asking the class some basic questions about taxation to determine their level of knowledge coming into the lesson. I would then continue on by presenting a couple of basic scenarios to help explain taxation and percentages in a way that is both entertaining and easy to understand.

When truncating a number you drop all digits beyond a specific position without any rounding. A taxpayer with a rate of 27.8% would definitely want to see their tax rate truncated. This would lower their tax rate from 27.8% to 27%. As an example, if Albert makes $100,000 per year and is then taxed at 27.8% he would have to pay $27,800 in taxes. If his tax rate were to be truncated to 27% he would only have to pay $27,000 in taxes, leaving him with $800 in savings with the truncated tax rate.

The government would surely prefer that the taxpayer rounded his tax rate. Not only would the method preserve the original tax rate but also a slight surplus. When the tax rate is rounded it becomes 28% as the .8 in the tenths place means that you will round up. Albert’s tax payment would subsequently increase from $27,800 at the 27.8% rate to $28,000 at the rounded rate. This method would generate an extra $200 in revenue for the government.

In the...