The correct option is B. a progressive tax. Explanation of the Correct Answer A progressive tax is a tax system where the tax rate increases as the taxable amount increases. This means that individuals with higher incomes pay a higher percentage of their income in taxes compared to those with lower incomes. The rationale behind a progressive tax system is to ensure that those who have a greater ability to pay contribute a larger share to government revenues, which can help reduce income inequality and provide funding for public services that benefit society as a whole. How Progressive Tax Works:

1. Tax Brackets: In a progressive tax system, income is divided into brackets. Each bracket has a specific tax rate. For example:
2. 0% on income up to $10,000
3. 10% on income from $10,001 to $40,000
4. 20% on income from $40,001 to $100,000
5. 30% on income above $100,000
6. Marginal Tax Rate: The tax rate that applies to the last dollar earned is called the marginal tax rate. In the example above, if someone earns $50,000, they would pay:
7. 0% on the first $10,000 = $0
8. 10% on the next $30,000 = $3,000
9. 20% on the next $10,000 = $2,000
10. Total tax = $5,000, which is 10% of their income.
11. Effective Tax Rate: The effective tax rate is the total tax paid divided by total income. In this case, the effective tax rate would be $5,000 / $50,000 = 10%.

Why Other Options Are Incorrect A. A regressive tax: This type of tax takes a larger percentage from low-income earners than from high-income earners. An example of a regressive tax is a sales tax, where everyone pays the same rate regardless of income, which disproportionately affects those with lower incomes. Therefore, this option is incorrect. C. A proportional tax: Also known as a flat tax, this system applies the same tax rate to all taxpayers, regardless of income level. For example, if there is a flat tax rate of 15%, everyone pays 15% of their income, whether they earn $20,000 or $200,000. This does not meet the criteria of taking a higher percentage from higher incomes, making this option incorrect. D. An indirect tax: This type of tax is levied on goods and services rather than on income. Examples include sales tax and value-added tax (VAT). Indirect taxes do not vary based on the taxpayer's income level, so this option does not fit the description of a tax that takes a higher percentage from higher incomes. Summary of Key Points

• A progressive tax increases tax rates with higher income levels, ensuring that wealthier individuals contribute a larger share.
• It uses tax brackets and marginal tax rates to determine how much tax is owed based on income.
• Regressive taxes take a larger percentage from low-income earners, while proportional taxes apply the same rate to all incomes.
• Indirect taxes are based on goods and services, not income, and do not vary with income levels.

This understanding of tax systems is crucial for analyzing economic policies and their impacts on different income groups.