anonymous
  • anonymous
A box company completed a study to determine the number of boxes an old machine would produce in an hour. They determined that the old machine produced 280 boxes in 4 hours. During its first day of operation, a new machine, after running a full 8 hours, produced 56 more boxes than the old machine would have produced in that time. Which of the following is true about the new machine
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
The equation y = 77x represents the production rate of the new machine The equation y = 84x represents the production rate of the new machine. The new machine can produce 14 boxes an hour. The new machine can produce 7 more boxes an hour than the old machine
anonymous
  • anonymous
anonymous
  • anonymous
i think it the first one but im not good at math so

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Michele_Laino
  • Michele_Laino
the working rate R_1 of the first machine is: \[{R_1} = \frac{{280}}{4}\]
anonymous
  • anonymous
huh?
anonymous
  • anonymous
r u talking about the slope
Michele_Laino
  • Michele_Laino
more precisely \[{R_1} = \frac{{280}}{4} = 70\]
anonymous
  • anonymous
u totaly lost me
Michele_Laino
  • Michele_Laino
please follow my reasoning
Michele_Laino
  • Michele_Laino
so after 8 hours, the first machine produces: 70*8=560 boxes
anonymous
  • anonymous
i have a fieeling ur talking about the slope but isnt the formula for slope Y=MX+B
Michele_Laino
  • Michele_Laino
whereas the secon machine, produces: 560+56=616 boxes then the working rate R_2 of the second machine is: \[{R_2} = \frac{{616}}{8} = 77\]
Michele_Laino
  • Michele_Laino
namely: \[{R_2} = {R_1} + 7\]
anonymous
  • anonymous
ok
Michele_Laino
  • Michele_Laino
what can you conclude?
anonymous
  • anonymous
I hate math i suck at it and none of that made sense
Michele_Laino
  • Michele_Laino
please look at the last option
anonymous
  • anonymous
o i didnt see that ok what about \[R2=R1+7\]
anonymous
  • anonymous
o the secound machine makes 7 more boxes in and hour then the old machien
Michele_Laino
  • Michele_Laino
yes! exactly!!
anonymous
  • anonymous
i feel smart
Michele_Laino
  • Michele_Laino
:)
anonymous
  • anonymous
man it says i had to choose to it was the first one and the lastone
Michele_Laino
  • Michele_Laino
the first one is not a rate, it is a relationship
Michele_Laino
  • Michele_Laino
77 is a rate
Michele_Laino
  • Michele_Laino
and: y= 77 x is an equation
anonymous
  • anonymous
ya

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