document.write( "Question 108745: a taxicab ride that is 2 miles long cost $7. One that is 9 miles long cost $24.50. Write an equation relating cost to length of ride. \n" ); document.write( "
Algebra.Com's Answer #79273 by HyperBrain(694)\"\" \"About 
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Let x=the x-coordinate
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\n" ); document.write( "\n" ); document.write( "Here, I want the x-coordinate to be the no. of miles and the y-coordinate to be the price. So, the points are (\"2\",\"7\") , (\"9\",\"24.50\")\r
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\n" ); document.write( "\n" ); document.write( "Let's find the slope\r
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\n" ); document.write( "\n" ); document.write( "slope=\"%28y-increment%29%2F%28x-increment%29\"=\"%2824.50-7%29%2F%289-2%29\"=\"17.50%2F7\"=\"2.5\"\r
\n" ); document.write( "\n" ); document.write( "Now, let's use the slope-intercept form \"y=mx%2Bb\" where m=slope and b=y-intercept\r
\n" ); document.write( "\n" ); document.write( "m=2.5 but b is unknown. So, let's use (2,7) for x=2 and y=7\r
\n" ); document.write( "\n" ); document.write( "\"y=mx%2Bb\"
\n" ); document.write( "\"7=2.5%2A2%2Bb\"
\n" ); document.write( "\"7=5%2Bb\"
\n" ); document.write( "\"7-5=5-5%2Bb\"
\n" ); document.write( "\"2=0%2Bb\"
\n" ); document.write( "\"0%2Bb=2\"
\n" ); document.write( "\"b=2\"\r
\n" ); document.write( "\n" ); document.write( "Thus, the equation is \"y=2.5x%2B2\"\r
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\n" ); document.write( "\n" ); document.write( "Which is interpreted as \"the price is calculated by multiplying the no. of miles by 2.5 and by adding 2 to the result\"\r
\n" ); document.write( "\n" ); document.write( "Graph:\r
\n" ); document.write( "\n" ); document.write( "\"graph%281000%2C1000%2C-20%2C20%2C-20%2C20%2C2.5x%2B2%29\"\r
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\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain!
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