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## anonymous 4 years ago Determine an expression for the cost

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1. anonymous

Pi = MC squared + the radius of pathagorean theorum divided by the square root of exponent X

2. anonymous

lol

3. anonymous

i don't either.

4. anonymous

its correct assuming you buy more than 100 chips, otherwise, no

5. anonymous

you can define the cost function with the restricted domains

6. anonymous

yes, use a piece-wise function

7. anonymous

a piece-wise function

8. anonymous

also you should usee p instead of n, as the question asked for that

9. anonymous

yes

10. anonymous

you'll need to give C no matter what amount is purchased though...

11. anonymous

p>=100

12. anonymous

$[100, \infty)$

13. anonymous

for 0<=p<100 C(P)=200

14. anonymous

C(P)=2p rather lol

15. anonymous

its a piece-wise function and is linear

16. anonymous

yw

17. anonymous

I'm wondering if they also want it for under 100. Then you'd have two piecewise functions. c(n)=2n, n≤100 c(n) = 200+1.75(n-100) when n>100

18. anonymous

But the first part... would they want that as well?

19. anonymous

Oh I see.

20. anonymous

Sorry, I didn't read through all the comments...

21. anonymous

It's just a line. First, get it in slope-intercept form. c(n) = 200+1.75(n-100) = 200 +1.75n - 175 c(n)=1.75n +25 Your y-intercept is 25. Your slope is 1.75.

22. anonymous

Looks good.

23. anonymous

just in case, because the problem did not state that they'll aways buy more than 100 chips, the function should look like this:|dw:1333233617956:dw|

24. anonymous

@dpaInc That's what I was thinking too. It's better safe than sorry if they don't specify "over 100 chips"

25. anonymous

Should be integers I think.

26. anonymous

since you can't have half of a chip :-)

27. anonymous

for the piece-wise function theres an implied domain of [0, infinity) because you wouldn't purchase negative chips

28. anonymous

but you could purchase 0, and as brinethery said, you'd want to restrict it to integers

29. anonymous

you could just say all whole numbers

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