Question

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

Answer 1

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

Answer 2

@Michele_Laino

Answer 3

i think it the first one but im not good at math so

Answer 4

the working rate R_1 of the first machine is:
\[{R_1} = \frac{{280}}{4}\]

Answer 5

huh?

Answer 6

r u talking about the slope

Answer 7

more precisely \[{R_1} = \frac{{280}}{4} = 70\]

Answer 8

u totaly lost me

Answer 9

please follow my reasoning

Answer 10

so after 8 hours, the first machine produces:
70*8=560 boxes

Answer 11

i have a fieeling ur talking about the slope but isnt the formula for slope Y=MX+B

Answer 12

whereas the secon machine, produces:
560+56=616 boxes
then the working rate R_2 of the second machine is:
\[{R_2} = \frac{{616}}{8} = 77\]

Answer 13

namely:
\[{R_2} = {R_1} + 7\]

Answer 14

ok

Answer 15

what can you conclude?

Answer 16

I hate math i suck at it and none of that made sense

Answer 17

please look at the last option

Answer 18

o i didnt see that ok what about \[R2=R1+7\]

Answer 19

o the secound machine makes 7 more boxes in and hour then the old machien

Answer 20

yes! exactly!!

Answer 21

i feel smart

Answer 22

:)

Answer 23

man it says i had to choose to it was the first one and the lastone

Answer 24

the first one is not a rate, it is a relationship

Answer 25

77 is a rate

Answer 26

and:
y= 77 x
is an equation

Answer 27

ya