Question 485263
Hey, this isn't so hard, just follow closely what we are doing here
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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.
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?
Answer Box (Type your work and answer below)
Set the ratio hits to at-bats and convert to a decimal.
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{{{44/117}}} = .376 is his batting average for the first 49 games
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2. Based on the ratio of number of hits to number of games, how many hits would he get in a 162-game season?
Answer Box (Type your work and answer below)
Set a proportion and solve for the unknown.
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Let h = no. of hits
{{{h/162}}}={{{44/49}}}
cross multiply
49h = 162*44
49h = 7128
h = {{{7128/49}}}
h ~ 145 hits in 162 games
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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?
Answer Box (Type your work and answer below)
Set a proportion and solve for the unknown.
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Let h = no. of hits
{{{h/400}}} = {{{44/117}}}
Cross multiply
117h = 400 * 44
117h = 17600
h = {{{17600/117}}}
h ~ 150 hits in 400 at-bats
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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.
4. Write a rational equation that represents the real-life scenario described above.
Answer Box (Type your work and answer below)
See section 6.8 of this week’s course reading.
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Let t = time required when they work together
let the completed job = 1
{{{t/48}}} + {{{t/36}}} = 1
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5. How long would it take Raul and Mira if they would have worked together to complete the same job?
Answer Box (Type your work and answer below)
Use the equation you set in problem 4 and solve it.
{{{t/48}}} + {{{t/36}}} = 1
Multiply by 144 to clear the denominators
144*{{{t/48}}} + 144*{{{t/36}}} = 144
cancel out the denominators and you have
3t + 4t = 144
7t = 144
t = {{{144/7}}} 
t ~ 20.6 hrs working together