Question

HELP PLEASE!!! URGENT!!! BEEN STUCK ON THIS FOREVER!!! MEDAL AND FAN + TESTIMONIAL:

Suppose you manage a juice factory. One of your machines fills 850 bottles per minute. Each day it takes 30 min to get the machine started after an hour for maintenance.
A. Graph the number of bottles filled as a function of time that the machine runs.
B. Find the domain, range, and y-intercept of the graph. Interpret these numbers.
C. Write an equation for your graph.

Here is what I've done:
When I plug the point back in, it doesn't come out right

Answer 1

@ganeshie8
@SolomonZelman

Answer 2

@undeadknight26

Answer 3

ok so do this:
do Y as bottles and count them like this:
(850,30),(1700,60),(2550,90)
This is how to graph it...

Answer 4

Do you understand so far?

Answer 5

no, it's backwards...850 is number of bottles, and 30 is the number of time

Answer 6

I'm confused. please help @undeadknight26

@UnkleRhaukus
@ganeshie8

Answer 7

@mathslover

Answer 8

IT is a

Answer 9

@zyon6541 it is not a multiplt choice question, that is just a list of things to do

Answer 10

there r 2 ways to do it...
1. taking 30 as the time interval until the bottles start filling
2 . taking 90 as the time interval until the bottles start filling

Answer 11

either way u don't need to represent the time interval that the machine used to repair ...

Answer 12

depending on the way u draw ur graph... it should be smthng like from above 2

Answer 13

thanks. what about finding the equation?

Answer 14

if u chose 90 ..
D: x >or equal 90, R: y >or equal 0
Because the first bottle is produced after 90 min

m = 850 Constant rate of change

y = mx + b
0 = 850(90) + b
b = -76500

y = 850x – 76500

Answer 15

oh I think I did my math wrong because I got b = 76410 ...lol thanks! I think this has helped.

Though, I thought domain and range are the x-coordinates and the y-coordinates, not a inequality..?

Answer 16

if u chose 30...
D: x > or equal 30, R: y> or equal 0
Because the first bottle is produced after 30 min

m = 850 Constant rate of change

0 = 850(30) + b
b = -25500
y = 850x – 25500

Answer 17

I chose 90 btw

Answer 18

no... the graph can continue until days... they haven't told us to plot the graph within a certain range.... so it's a inequality

Answer 19

oh, good point. But I didn't learn that...that wasn't in the book. The question also says "what is the domain and range of the graph" meaning only the points on the graph, tho right?

Answer 20

the time line for the graph can goes from 90( in ur case) to +infinity and until x goes there y will take different values above 0

Answer 21

When u have to answer a question which says
what is the domain or what is range
it's always a inequality .....

Answer 22

it's is impossible to to mention the domain or range just by values....
for an instance
u have answered the domain as
30 , 60 , 90 .... 270
but wt about 31 ?

Answer 23

u haven't said that 31 belong to the domain of the graph...
but still there is a y value when x = 31

Answer 24

so .. 31 is also belong to the domain....

Answer 25

oh...

Answer 26

I see now!

Answer 27

if u consider that way
anyone can argue that
not just 31 but 90.011 , 42.56 like elements too belong to the domain and they r absolutely correct...
if those value does not belong to the graph there should be blank spaces in the graph

Answer 28

like this

Answer 29

but since the graph is like this

Answer 30

I see..you're smart!

Answer 31

every value starting from 90 and onward belong to the the domain... its the same explanation for the range...
so the only way to represent this is using an inequality
got it :) ?

Answer 32

Thanks! so much! I'd give you more than 1 mdal if I could!

Answer 33

u r welcome!

Answer 34

i told u my graph was correct -_-

Answer 35

lol isuru did better than i ever could have so maybe its for the best :D

Answer 36

lol @undeadknight26

Answer 37

XD... indeed ur graph was correct

Answer 38

sorry @undeadknight26 !

Answer 39

lol its ok :D