Questions: The following table shows mean annual earnings for women and men by their highest achieved level of education. As a percentage, how much more does a man with a bachelor's degree earn than a woman with a bachelor's degree? Assuming the difference remains constant over a 40-year career, how much more does the man earn than the woman? High School Associate's degree Bachelor's degree Master's Degree ----------------------------------------------------------------------------- Women 31,478 39,409 59,305 76,296 Men 45,484 59,305 87,466 114,741 A man with a bachelor's degree earns % more annually than a woman with a bachelor's degree.

The following table shows mean annual earnings for women and men by their highest achieved level of education. As a percentage, how much more does a man with a bachelor's degree earn than a woman with a bachelor's degree? Assuming the difference remains constant over a 40-year career, how much more does the man earn than the woman? High School Associate's degree Bachelor's degree Master's Degree ----------------------------------------------------------------------------- Women 31,478 39,409 59,305 76,296 Men 45,484 59,305 87,466 114,741 A man with a bachelor's degree earns % more annually than a woman with a bachelor's degree.
Transcript text: The following table shows mean annual earnings for women and men by their highest achieved level of education. As a percentage, how much more does a man with a bachelor's degree earn than a woman with a bachelor's degree? Assuming the difference remains constant over a 40-year career, how much more does the man earn than the woman? \begin{tabular}{|l|c|c|c|c|} \hline & \begin{tabular}{c} High \\ School \end{tabular} & \begin{tabular}{c} Associate's \\ degree \end{tabular} & \begin{tabular}{c} Bachelor's \\ degree \end{tabular} & \begin{tabular}{c} Master's \\ Degree \end{tabular} \\ \hline Women & $\$ 31,478$ & $\$ 39,409$ & $\$ 59,305$ & $\$ 76,296$ \\ \hline Men & $\$ 45,484$ & $\$ 59,305$ & $\$ 87,466$ & $\$ 114,741$ \\ \hline \end{tabular} A man with a bachelor's degree earns $\square \%$ more annually than a woman with a bachelor's degree.
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Solution

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Solution Steps

Step 1: Calculate the Percentage Difference in Earnings

To find how much more a man with a bachelor's degree earns compared to a woman with a bachelor's degree, we use the formula for percentage difference:

\[ \text{Percentage Difference} = \left( \frac{\text{Men's Earnings} - \text{Women's Earnings}}{\text{Women's Earnings}} \right) \times 100 \]

Substituting the values:

\[ \text{Percentage Difference} = \left( \frac{87466 - 59305}{59305} \right) \times 100 \approx 47\% \]

Step 2: Calculate Additional Earnings Over a 40-Year Career

Next, we calculate the total additional earnings a man earns over a 40-year career compared to a woman. This is done by multiplying the annual difference in earnings by the number of years:

\[ \text{Additional Earnings} = (\text{Men's Earnings} - \text{Women's Earnings}) \times 40 \]

Substituting the values:

\[ \text{Additional Earnings} = (87466 - 59305) \times 40 = 1126440 \]

Final Answer

A man with a bachelor's degree earns \( \boxed{47\%} \) more annually than a woman with a bachelor's degree. Over a 40-year career, a man earns \( \boxed{1126440} \) dollars more than a woman.

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