document.write( "Question 62300: ok, i have 2 find out the formula for this table and ive tried all that i can think of, here it is.\r
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document.write( "Age (yr) 20 30 40 50 60 70
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document.write( "Pulse rate (beats/min) 175 166 157 148 139 130\r
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document.write( "Write an equation in function notation for the relation. \n" );
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Algebra.Com's Answer #43040 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! This is a linear equation. That is, as age increases, pulse rate decreases. \n" ); document.write( "Use the formula for a slope and the slope-intercept formula to solve. \n" ); document.write( ". \n" ); document.write( "The x's are the ages. \n" ); document.write( "The y's are the pulse rates. \n" ); document.write( "So, match-up the ages and pulse rates to form a list of coordinate pairs: \n" ); document.write( "(20, 175) \n" ); document.write( "(30, 166) \n" ); document.write( "(40, 157) \n" ); document.write( "(50, 148) \n" ); document.write( "(60, 139) \n" ); document.write( "(70, 130) \n" ); document.write( ". \n" ); document.write( "Slope=m=(y1-y2)/(x1-x2)[use the formula for the slope of a line] \n" ); document.write( "m=(175-166)/(20-30) [plug-in the values and solve for the slope of the line] \n" ); document.write( "m=9/-10=-9/10 \n" ); document.write( ". \n" ); document.write( "y=mx+b [use the slope-intercept formula] \n" ); document.write( "175=(-9/10)(20)+b [plug-in the values and solve for b] \n" ); document.write( "175=118+b \n" ); document.write( "175+18=b \n" ); document.write( "193=b [plug the slope and y-intercept (b) back into the equation} \n" ); document.write( ". \n" ); document.write( "y=mx+b \n" ); document.write( "y=(-9/10)x+193 [the equation of the line] \n" ); document.write( "or f(x)=(-9/10)x+193 [function notation] \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |