document.write( "Question 375399: write an exponential equation y=ab^x whose graph passes through these points
\n" ); document.write( "(1,10), (2,25) \n" ); document.write( "
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write an exponential equation y=ab^x whose graph passes through these points
\n" ); document.write( "(1,10), (2,25)
\n" ); document.write( ".
\n" ); document.write( "From:(1,10)
\n" ); document.write( "10 = ab^1
\n" ); document.write( "10 = ab (equation 1)
\n" ); document.write( "and from:(2,25)
\n" ); document.write( "25 = ab^2 (equation 2)
\n" ); document.write( ".
\n" ); document.write( "solve equation 1 for b:
\n" ); document.write( "10 = ab
\n" ); document.write( "10/a = b
\n" ); document.write( ".
\n" ); document.write( "substitute it into eq 2 and solve for a:
\n" ); document.write( "25 = ab^2
\n" ); document.write( "25 = a(10/a)^2
\n" ); document.write( "25 = a(100/a^2)
\n" ); document.write( "25 = (100/a)
\n" ); document.write( "a = 100/25
\n" ); document.write( "a = 4
\n" ); document.write( ".
\n" ); document.write( "substitute it into eq 1 and solve for b:
\n" ); document.write( "10 = ab
\n" ); document.write( "10 = 4b
\n" ); document.write( "10/4 = b
\n" ); document.write( "2.5 = b\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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