document.write( "Question 56898: 2. Board Cutting. A 72 inch board is cut into two pieces. one piece is 2 inches longer than the other. find the length of the piece?\r
\n" ); document.write( "\n" ); document.write( "7. Iditarod Race. The Iditarod dog sled race extends for 1049 mi from Ancorage to Nome. If a musher is twice as far from Ancorage as from Nome, how much of the race has the musher completed?\r
\n" ); document.write( "\n" ); document.write( "22. Van Rental. Value Rent-A-Car rents vans at a daily rate of $84.95 plus 60 cents per mile. Molly rents a van to deliver electrical parts to her customers. She is alloted a daily budget of $320. How many miles can she drive for $320?\r
\n" ); document.write( "\n" ); document.write( "31. Taxi fares. In Benifold, taxis charge $3 plus 75 cents per mile for an airport pickup. How far from the airport can courtney travel for $12? \n" ); document.write( "
Algebra.Com's Answer #38654 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
2. Since the board was cut into two parts:
\n" ); document.write( "Piece #1 + Piece#2=72
\n" ); document.write( "x+x=72
\n" ); document.write( "Since one piece is 2 inches longer than the other, than:
\n" ); document.write( "x+(x+2)=72 [Combine like-terms and solve for x]
\n" ); document.write( "2x+2=72
\n" ); document.write( "2x=72-2
\n" ); document.write( "2x=70
\n" ); document.write( "x=70/2
\n" ); document.write( "x=35 (Part #1)
\n" ); document.write( "Piece # 2= (x+2)=35+2=37
\n" ); document.write( "35+37=72 [Plug the value for (x=35) back into the original equation.
\n" ); document.write( ".
\n" ); document.write( "7. Distance #1 + Distance #2=1049
\n" ); document.write( "x+x=1049
\n" ); document.write( "2x+x=1049 [Because, a musher is twice as far from Ancorage as from Nome]
\n" ); document.write( "3x=1049
\n" ); document.write( "x=349.666 (Distance left to Nome]
\n" ); document.write( "(2)(349.66)=699.333 miles away from Anchorage (distance completed)
\n" ); document.write( ".
\n" ); document.write( "Check by adding the distances together.
\n" ); document.write( "
\n" ); document.write( "22. Use the slope-intercept formula since there is a linear relationship between the number of miles traveled and the amount of rental per miles:
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=.60x+84.95 [Because the flat rental is $84.95 plus .60cents for every unknown mile (x)]
\n" ); document.write( "$320=.60x+84.95 [Because the total rental cannot exceed $320.]
\n" ); document.write( "320=.60x+84.95 [Simplify and solve for x (the unknown milage]
\n" ); document.write( "320-84.95=.60x
\n" ); document.write( "235.10=.60x
\n" ); document.write( "235.10/.60=x
\n" ); document.write( "391.83=x (the unknown mileage driven]
\n" ); document.write( "Check by plugging all of the variables back into the original equation.
\n" ); document.write( ".
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "31. This is also a linear equation because as the miles increase so does the fare.
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=.75x+$3 [Because, the flat fee is $3.00 and .75 cents is charged for each (x)unknown mile thereafter.]
\n" ); document.write( "$12=.75x+3 [Solve for x]
\n" ); document.write( "12=.75x+3
\n" ); document.write( "12-3=.75x
\n" ); document.write( "9=.75x
\n" ); document.write( "x=9/.75
\n" ); document.write( "x=12 miles can be traveled for $12
\n" ); document.write( ".
\n" ); document.write( "check by plugging in all of the values back into the original equation.
\n" ); document.write( " \n" ); document.write( "
\n" );