document.write( "Question 248007: Working on this problem and don't know how to approach it -\r
\n" ); document.write( "\n" ); document.write( "Use the given conditions and the table below to find C, a, and f(x) = Ca^x
\n" ); document.write( "Given: f(1) = 18 and f(2) = 9\r
\n" ); document.write( "\n" ); document.write( " x | -1 | 0 | 1 | 2
\n" ); document.write( "---+----+----+----+----
\n" ); document.write( " y | | | | \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Plugging in the givens I get this -\r
\n" ); document.write( "\n" ); document.write( " x | -1 | 0 | 1 | 2
\n" ); document.write( "---+----+----+----+----
\n" ); document.write( " y | | | 18 | 9\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "but don't know where to go from there.\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help - Ryan\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #180841 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"f%28x%29+=+Ca%5Ex\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"18+=+Ca%5E1\" Plug in \"f%28x%29=18\" and \"x=1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"18+=+Ca\" Simplify\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"18%2Fa+=+C\" Divide both sides by 18.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"C=18%2Fa\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"f%28x%29+=+Ca%5Ex\" Go back to the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9+=+Ca%5E2\" Plug in \"f%28x%29=9\" and \"x=2\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9+=+%2818%2Fa%29a%5E2\" Plug in \"C=18%2Fa\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9+=+%2818a%5E2%29%2Fa\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9+=+18a\" Reduce\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"9%2F18+=+a\" Divide both sides by 18.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1%2F2=a\" Reduce.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"a=1%2F2\". So the value of C is \"C=18%2Fa=18%2F%281%2F2%29=18%282%2F1%29=36\" giving us the function \"f%28x%29=36%281%2F2%29%5Ex\"
\n" ); document.write( "
\n" );