document.write( "Question 330783: Can you please help me with this story problem that I am struggling with.\r
\n" ); document.write( "\n" ); document.write( "In 1991 the life expectancy of males in a certain country was 63.2 years. In 1996 it was 65.7 years. Let E represent the life expectancy in year t, and let t represent the number of years since 1991.\r
\n" ); document.write( "\n" ); document.write( "The linear function E(t) that fits the data is E(t)=___t + ___.\r
\n" ); document.write( "\n" ); document.write( "Use the function to predict the life expectancy of males in 2006.
\n" ); document.write( "E(15)= ___ round to the nearest tenth.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much for helping me. \n" ); document.write( "
Algebra.Com's Answer #237312 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
In 1991 the life expectancy of males in a certain country was 63.2 years.
\n" ); document.write( " In 1996 it was 65.7 years.
\n" ); document.write( ":
\n" ); document.write( "Find the slope
\n" ); document.write( "In 1991; x1=0 and y1=63.2
\n" ); document.write( "In 1996; x2=5 and y2=65.7
\n" ); document.write( ":
\n" ); document.write( "Find the slope (m) using the slope equation: m = \"%28y2-y1%29%2F%28x2-x1%29\"
\n" ); document.write( "m = \"%2865.7-63.2%29%2F%285+-+0%29%29\" = \"%282.5%29%2F%285%29\" = .5
\n" ); document.write( ":
\n" ); document.write( "Use the point/slope formula to write the equation; y - y1 = m(x - x1)
\n" ); document.write( "y - 63.2 = .5(x - 0)
\n" ); document.write( "y = .5x + 63.2
\n" ); document.write( ":
\n" ); document.write( "Let E represent the life expectancy in year t, and let t represent the number of years since 1991.
\n" ); document.write( "E(t) = .5t + 63.2, The linear function E(t) that fits the data
\n" ); document.write( ":
\n" ); document.write( "Use the function to predict the life expectancy of males in 2006.
\n" ); document.write( "E(15)= .5(15) + 63.2 round to the nearest tenth.
\n" ); document.write( "E(15) = 7.5 + 63.2
\n" ); document.write( "E(15) = 70.7 life expectancy in 2006 \n" ); document.write( "
\n" );