document.write( "Question 260698: Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour course average a score of 788. Using an equation for the line whose graph depicts this data, predict the average score for person taking a 55-hour review course. Round your answer to the tenths place. \n" ); document.write( "
Algebra.Com's Answer #192031 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
we have 2 coordinates here: (30, 620) and (70, 788). We can find the slope using
\n" ); document.write( "\"m+=+%28y2-y1%29%2F%28x2-x1%29\"
\n" ); document.write( "which becomes
\n" ); document.write( "\"m+=+%28788-620%29%2F%2870-30%29\"
\n" ); document.write( "and then
\n" ); document.write( "\"m+=+168%2F40\"
\n" ); document.write( "or
\n" ); document.write( "\"m=+4.2\"
\n" ); document.write( "--
\n" ); document.write( "Now, we use our slope and a coordinate to create the equation using
\n" ); document.write( "\"y+=+mx+%2B+b\".
\n" ); document.write( "we get
\n" ); document.write( "\"620+=+4.2%2A30+=+b\"
\n" ); document.write( "and then
\n" ); document.write( "\"620+=+126+%2B+b\"
\n" ); document.write( "finally
\n" ); document.write( "\"b+=+494\"
\n" ); document.write( "--
\n" ); document.write( "now our answer as
\n" ); document.write( "\"y+=+4.2x+%2B+494\"
\n" ); document.write( "--
\n" ); document.write( "If you take a 55 hour course, you should get
\n" ); document.write( "\"y+=+4.2%2A55+%2B+494\"
\n" ); document.write( "or
\n" ); document.write( "\"y+=+725\"
\n" ); document.write( "
\n" );