Question 1196077
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In 2021, a single person could expect to pay $4500 in income taxes on an adjusted gross income 
of $30,000. How much more tax should the person expect to pay if her adjusted gross income 
increased $2000, knowing that this would not move her into a higher tax bracket?
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<pre>
Write a proportion

    {{{gross_income[1]/tax[1]}}} = {{{gross_income[2]/tax[2]}}}.


Use the given info:  {{{gross_income[1]}}} = 30000;

                     {{{tax[1]}}} = 4500;

                     {{{gross_income[2]}}} = 30000 + 2000 = 32000.


Substitute it into the proportion

    {{{30000/4500}}} = {{{32000/tax[2]}}}.


From the proportion, find  {{{tax[2]}}} = {{{(4500*32000)/30000}}} = 4800 dollars.


The increase in tax is  {{{tax[2]}}} - {{{tax[1]}}} = 4800 - 4500 = 300 dollars.    <U>ANSWER</U>
</pre>

Solved and carefully/thoroughly explained.