document.write( "Question 1165047: would you prefer that your salary be modeled linearly or exponentially? Give reason and explain your answer \n" ); document.write( "
Algebra.Com's Answer #789495 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The intent of the problem is good... but the statement of the problem as it is is insufficient.

\n" ); document.write( "Obviously in this case I would prefer exponential:
\n" ); document.write( "$50,000, increased by 10% per year --> salary in 40th year $2,262,963
\n" ); document.write( "$50,000, increased by $10,000 per year --> salary in 40th year $440,000

\n" ); document.write( "But \"exponential\" by itself doesn't guarantee faster growth:
\n" ); document.write( "$50,000, increased by 0.01% per year --> salary in 40th year $50,200

\n" ); document.write( "And \"exponential\" by itself doesn't even mean increasing. A salary modeled by a decreasing exponential function is clearly worse than one that is increasing linearly.

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