Is the amount of tax collected proportional to the cost of an item after tax has been added?explain

Yes, it is because you are changing all of the numbers, therefore giving it a different unit but the same factors, so yes, it is still proportional.

of course it is. It's just a different proportion.

caca

care to give work on how

No, the amount of tax collected is not proportional to the cost of an item after tax has been added.

To understand why, let's break it down. Taxes are usually calculated as a percentage of the pre-tax price of an item. This percentage is known as the tax rate, and it can vary depending on the type of tax and the applicable jurisdiction.

For instance, let's say the tax rate is 10% and the pre-tax price of an item is $100. In this case, the tax amount would be $10 (10% of $100), and the total cost after tax would be $110 ($100 + $10).

If we apply the same tax rate of 10% to a higher-priced item, let's say $200, the tax amount would be $20 (10% of $200), and the total cost after tax would be $220 ($200 + $20).

As you can see, although the tax rate is constant, the tax amount and the total cost after tax are not proportional to the pre-tax price of the item. In this example, the tax collected for the $200 item is twice as much as that collected for the $100 item, even though the pre-tax price is only doubled.

Therefore, the amount of tax collected is based on the tax rate and the pre-tax price, rather than being directly proportional to the cost of an item after tax has been added.