document.write( "Question 94835: This is a question on my summer assignment that I've been working on for months!!! I've asked my friends for help, but they don't know how to solve it either!!! I hope you can help.\r
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document.write( "A business had a profit of $58,000 in 1989 and a profit of $74,000 in 1993. Find the rate of change. Write an equation that models the information given.
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document.write( "Rate of change=
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document.write( "Equation=\r
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document.write( "So far I have -\r
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document.write( "x/100 = 16,000/58,000
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document.write( "x = 1,600,000/58,000
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document.write( "Rate of Change = 27.5862% over 4 years or 6.8966% per year\r
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document.write( "Is that the correct answer for the rate of change? \r
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document.write( "My work for the equation is - \r
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document.write( "y2-y1/x2-x1
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document.write( "74,000-58,000/1993-1989
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document.write( "Equation = $16,000/4 years or $4000/1 year\r
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document.write( "I'm completely confused about the equation part! Would the slope equation be the correct equation for the answer? And if so, is this is correct solution? \r
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document.write( "Any insight or help that anyone can give me on this problem would be greatly appreciated!!! Thank-you VERY much!!! \n" );
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Algebra.Com's Answer #69022 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! First, it is necesaary to find the x- and y-values: \n" ); document.write( "To find the x-values: \n" ); document.write( "Let: \n" ); document.write( "1989=year #0 \n" ); document.write( "1990=#1 \n" ); document.write( "1991=#2 \n" ); document.write( "1992-#3 \n" ); document.write( "1993=#4 \n" ); document.write( ". \n" ); document.write( "The y-values are (58,000 when x=0; and 74,000 when x=4. \n" ); document.write( ". \n" ); document.write( "to find the rate of change use the fomula for the slope of a line: \n" ); document.write( "Rate of change=Slope = m= \n" ); document.write( "Pick two coordinate points (4; 74,000) and(0; 58,000) and plug them into the formula: \n" ); document.write( ". \n" ); document.write( "m= \n" ); document.write( "m= \n" ); document.write( "m=$4000 as the rate of change.\r \n" ); document.write( "\n" ); document.write( "What this means is that for every year, there is an additional profit of $4,000. \n" ); document.write( ". \n" ); document.write( "To find the equation, use the slope-intercept form of a line (y-mx+b): \n" ); document.write( "y=mx+b \n" ); document.write( "y=any y-value on the line \n" ); document.write( "m=the sope of the line \n" ); document.write( "x=any corresponding x-value on the line \n" ); document.write( "b=the y-interception or point (0, b) \n" ); document.write( ". \n" ); document.write( "y=mx+b \n" ); document.write( "58,000=(4,000)(0)+b [plug-in the values and solve for the b-term] \n" ); document.write( "58,000=0+b \n" ); document.write( "58,000=b\r \n" ); document.write( "\n" ); document.write( ". \n" ); document.write( "Plug-in only the value of the slope and the b-intercept to get the equation of the line: \n" ); document.write( "y=4,000x + 58,000 \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |