document.write( "Question 485263: PLEASE HELP I AM SO LOST! :(\r
\n" ); document.write( "\n" ); document.write( "In 2004 Major League Baseball, Barry Bonds, playing for the San Francisco Giants of the National League, collected 44 hits in 117 at-bats in his first 49 games.\r
\n" ); document.write( "\n" ); document.write( "1. The ratio of number of hits to number of at-bats, rounded to the nearest thousandth, is a player’s batting average. What was Bond’s batting average in his first 49 games?\r
\n" ); document.write( "\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "Set the ratio hits to at-bats and convert to a decimal.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. Based on the ratio of number of hits to number of games, how many hits would he get in a 162-game season?\r
\n" ); document.write( "\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "Set a proportion and solve for the unknown.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. Based on the ration of number of hits to number of at-bats and assuming he bats 400 times in 2004, how many hits would he get?\r
\n" ); document.write( "\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "Set a proportion and solve for the unknown.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "By checking work records, a plumber finds that Raul can plumb a house in 48 hr. Mira can do the same job in 36 hr.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4. Write a rational equation that represents the real-life scenario described above.\r
\n" ); document.write( "\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "See section 6.8 of this week’s course reading.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "5. How long would it take Raul and Mira if they would have worked together to complete the same job? \r
\n" ); document.write( "\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "Use the equation you set in problem 4 and solve it.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #331981 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Hey, this isn't so hard, just follow closely what we are doing here
\n" ); document.write( ":
\n" ); document.write( "In 2004 Major League Baseball, Barry Bonds, playing for the San Francisco Giants of the National League, collected 44 hits in 117 at-bats in his first 49 games.
\n" ); document.write( "1. The ratio of number of hits to number of at-bats, rounded to the nearest thousandth, is a player’s batting average. What was Bond’s batting average in his first 49 games?
\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "Set the ratio hits to at-bats and convert to a decimal.
\n" ); document.write( ":
\n" ); document.write( "\"44%2F117\" = .376 is his batting average for the first 49 games
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "2. Based on the ratio of number of hits to number of games, how many hits would he get in a 162-game season?
\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "Set a proportion and solve for the unknown.
\n" ); document.write( ":
\n" ); document.write( "Let h = no. of hits
\n" ); document.write( "\"h%2F162\"=\"44%2F49\"
\n" ); document.write( "cross multiply
\n" ); document.write( "49h = 162*44
\n" ); document.write( "49h = 7128
\n" ); document.write( "h = \"7128%2F49\"
\n" ); document.write( "h ~ 145 hits in 162 games
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "3. Based on the ration of number of hits to number of at-bats and assuming he bats 400 times in 2004, how many hits would he get?
\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "Set a proportion and solve for the unknown.
\n" ); document.write( ":
\n" ); document.write( "Let h = no. of hits
\n" ); document.write( "\"h%2F400\" = \"44%2F117\"
\n" ); document.write( "Cross multiply
\n" ); document.write( "117h = 400 * 44
\n" ); document.write( "117h = 17600
\n" ); document.write( "h = \"17600%2F117\"
\n" ); document.write( "h ~ 150 hits in 400 at-bats
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "By checking work records, a plumber finds that Raul can plumb a house in 48 hr. Mira can do the same job in 36 hr.
\n" ); document.write( "4. Write a rational equation that represents the real-life scenario described above.
\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "See section 6.8 of this week’s course reading.
\n" ); document.write( ":
\n" ); document.write( "Let t = time required when they work together
\n" ); document.write( "let the completed job = 1
\n" ); document.write( "\"t%2F48\" + \"t%2F36\" = 1
\n" ); document.write( ":
\n" ); document.write( "5. How long would it take Raul and Mira if they would have worked together to complete the same job?
\n" ); document.write( "Answer Box (Type your work and answer below)
\n" ); document.write( "Use the equation you set in problem 4 and solve it.
\n" ); document.write( "\"t%2F48\" + \"t%2F36\" = 1
\n" ); document.write( "Multiply by 144 to clear the denominators
\n" ); document.write( "144*\"t%2F48\" + 144*\"t%2F36\" = 144
\n" ); document.write( "cancel out the denominators and you have
\n" ); document.write( "3t + 4t = 144
\n" ); document.write( "7t = 144
\n" ); document.write( "t = \"144%2F7\"
\n" ); document.write( "t ~ 20.6 hrs working together
\n" ); document.write( "
\n" );