document.write( "Question 761180: A table of values of a linear function is shown below. Find the output when the input is \r
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\n" ); document.write( "\n" ); document.write( "input 1 2 3 4 n\r
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\n" ); document.write( "\n" ); document.write( "output 0 3 6 9\r
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Algebra.Com's Answer #463160 by KMST(5328) $\"\"$ $\"About$

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When the input is $\"n\"$ , the output is $\"3%28n-1%29=3n-3\"$ .
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\n" ); document.write( "The fact that
\n" ); document.write( " $\"3=3%2A1\"$ is the output for $\"2\"$ ,
\n" ); document.write( " $\"6=3%2A2\"$ is the output for $\"3\"$ , and
\n" ); document.write( " $\"9=3%2A3\"$ is the output for $\"4\"$
\n" ); document.write( "tells us that $\"3%28n-1%29\"$ is the output for $\"n\"$ .
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\n" ); document.write( "The fact that as the input increases by 1, the output increases by $\"3\"$ tells us that the slope is $\"3\"$ , and the slope-intercept form of the equation bases on the point (n,y) = (1,0) would be
\n" ); document.write( " $\"y-0=3%28n-1%29\"$ --> $\"y=3%28n-1%29\"$ \n" ); document.write( "

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