Question

the piecewise function represents the amount of taxes owed, f(x), as a function of the taxable income, x. use the marginal tax rate chart or the piecewise function to answer the question.

determine the effective tax rate for a taxable income of $180,900. round the final answer to the nearest hundredth.

19.50%
20.00%
21.11%
32.00%

Explanation:

Identify the relevant interval

Using the Piecewise Functions and Marginal Tax Brackets knowledge points

$$
LATEXBLOCK0
$$

Evaluate the tax function

Using the Function Evaluation knowledge point

$$
LATEXBLOCK1
$$

Calculate the effective tax rate

Using the Effective Tax Rate knowledge point

$$
LATEXBLOCK2
$$

Answer:

• 19.50%
• 20.00%
• 21.11% (Correct answer)
• 32.00%