mskyeg 2 years ago A juice bottling machine fi lls 1200 bottles per minute. • Graph the number of bottles filled versus the time (in minutes) the machine runs. • Is this model a direct variation? If so, what is the constant of variation?

1. mskyeg

I don't think it is a direct variation.

2. mskyeg

no need to graph i just need to know if it is a direct variation

3. mskyeg

but if you can graph it that would be great too

4. akash_809

depends on the constarint like, this many bottles should be filled /hr etc and any resting time is there as to m/c fills up to 2hrs continous and then stops for 5 min, if ther are no such constrainst then it is a direct variation

5. mskyeg

1200 bottles every minute

6. klimenkov

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7. mskyeg

if thats how it's graphed it isn't a direct variation right?

8. klimenkov

It is a direct variation.

9. mskyeg

then what is the constant of the variation some are 3 some are 2 doesn't that mean it isn't a direct variation

10. akash_809

its a dorect variation y=1200 x

11. akash_809

*direct

12. klimenkov

The general function, that shows this is $$\text{bottles=1200}\cdot\text{minutes}$$ or $$y=1200x$$.

13. klimenkov

The constant must be 1200

14. mskyeg

i thought the constant was the ratio of any y-value to the corresponding x-value

15. mskyeg

1200 is not a ratio

16. klimenkov

Try to find $$\frac y x$$ from $$y=1200x$$.

17. mskyeg

it equals 1200

18. mskyeg

oooh i think i get it now thanx:)

19. klimenkov

No problem, ask anything you like.