kk1022
Determine an expression for the cost
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Tributized
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Pi = MC squared + the radius of pathagorean theorum divided by the square root of exponent X
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lol
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i don't either.
Dockworker
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its correct assuming you buy more than 100 chips, otherwise, no
dpaInc
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you can define the cost function with the restricted domains
Dockworker
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yes, use a piece-wise function
dpaInc
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a piece-wise function
Dockworker
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also you should usee p instead of n, as the question asked for that
Dockworker
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yes
dpaInc
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you'll need to give C no matter what amount is purchased though...
Dockworker
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p>=100
Dockworker
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\[[100, \infty)\]
Dockworker
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for 0<=p<100
C(P)=200
Dockworker
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C(P)=2p rather lol
Dockworker
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its a piece-wise function and is linear
Dockworker
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yw
brinethery
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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
brinethery
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But the first part... would they want that as well?
brinethery
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Oh I see.
brinethery
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Sorry, I didn't read through all the comments...
brinethery
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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.
brinethery
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Looks good.
dpaInc
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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|
brinethery
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@dpaInc That's what I was thinking too. It's better safe than sorry if they don't specify "over 100 chips"
brinethery
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Should be integers I think.
brinethery
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since you can't have half of a chip :-)
Dockworker
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for the piece-wise function theres an implied domain of [0, infinity) because you wouldn't purchase negative chips
Dockworker
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but you could purchase 0, and as brinethery said, you'd want to restrict it to integers
Dockworker
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you could just say all whole numbers