## kk1022 3 years ago Determine an expression for the cost

1. Tributized

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

2. Tributized

lol

3. Tributized

i don't either.

4. Dockworker

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

5. dpaInc

you can define the cost function with the restricted domains

6. Dockworker

yes, use a piece-wise function

7. dpaInc

a piece-wise function

8. Dockworker

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

9. Dockworker

yes

10. dpaInc

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

11. Dockworker

p>=100

12. Dockworker

$[100, \infty)$

13. Dockworker

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

14. Dockworker

C(P)=2p rather lol

15. Dockworker

its a piece-wise function and is linear

16. Dockworker

yw

17. brinethery

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. brinethery

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

19. brinethery

Oh I see.

20. brinethery

21. brinethery

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. brinethery

Looks good.

23. dpaInc

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. brinethery

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

25. brinethery

Should be integers I think.

26. brinethery

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

27. Dockworker

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

28. Dockworker

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

29. Dockworker

you could just say all whole numbers