document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=828298>Question 828298</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Boating:  The table gives the amount of y gas needed to travel a fixed distance if a boat gets x miles per gallon when driven at a constant speed.\r<BR>\n" );
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document.write( "Mileage (miles per gallon), x = 11   Gas (gallons) y =7.5<BR>\n" );
document.write( "Mileage (miles per gallon), x = 13.75   Gas (gallons) y =6<BR>\n" );
document.write( "Mileage (miles per gallon), x = 15   Gas (gallons) y =5.5<BR>\n" );
document.write( "Mileage (miles per gallon), x = 16.5   Gas (gallons) y =5<BR>\n" );
document.write( "Mileage (miles per gallon), x = 27.5  Gas (gallons) y =3<BR>\n" );
document.write( "Mileage (miles per gallon), x = 33  Gas (gallons) y =?\r<BR>\n" );
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document.write( "I am not sure how to figure this out.   For the last part x=33 y=?  I guessed that y would be 2.5.  I am not sure how I arrived at that answer.  I looked a a pattern with the Ys.  If it was x was a whole number, the y would be a decimal.  If Y as a decimal then y was a whole number.  The Ys were in descending order.\r<BR>\n" );
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document.write( "Please explain how to do that answer.\r<BR>\n" );
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document.write( "Thank you!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499210 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=499210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ---<BR>\n" );
document.write( "the given data is not linear, which you can verify as follows:<BR>\n" );
document.write( "11 7.5<BR>\n" );
document.write( "13.75 6<BR>\n" );
document.write( "15 5.5<BR>\n" );
document.write( "16.5 5<BR>\n" );
document.write( "27.5 3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "copy and paste the above data into this linear regression solver:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php<BR>\n" );
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document.write( "as you can see, the given data points do not fit the line perfectly, but you can use the line as a linear model of the given data, and use the linear model to estimate y for x=33 as follows:<BR>\n" );
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document.write( "linear model:<BR>\n" );
document.write( "b = y-intercept = 9.54191291<BR>\n" );
document.write( "m = slope = -0.247278383<BR>\n" );
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document.write( "slope-intercept form of linear model:<BR>\n" );
document.write( "y = -0.247278383x + 9.54191291<BR>\n" );
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document.write( "y(33) = -0.247278383*33 + 9.54191291<BR>\n" );
document.write( "y(33) = 1.381726271000002<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "if the boat gets 33 mpg, to travel the fixed distance the boat would be needed about 1.4 gallons of fuel<BR>\n" );
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document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
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document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
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document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php </SPAN>\n" );
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