Question 1193502: MAT 145: Topics In Contemporary Math
QUESTION 1
Ponyo likes ham! She can eat 7 slices immediately or 16 slices of ham in three minutes.
A) Assuming the number of slices of ham Ponyo can eat follows a linear growth, find a formula to find H subscript n, the number of slices of ham Ponyo can eat in n minutes. (20 points)
B) Using that formula, how many slices of ham could Ponyo eat in 8 minutes? (10 points)
C) How long would it take Ponyo to eat an entire package of 100 ham slices? (10 points)
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
The word " or " in the first line makes the condition ambiguous.
Is this " or " EXCLUSIVE or INCLUSIVE ?
Also, after reading the post, I have another question: what about next three minutes ?
All the posts from " MAT 145: Topics In Contemporary Math "
is one continuing flow of gibberish.
I'm just already roped to delete every next post from MAT 145: Topics In Contemporary Math.
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
H(n) is the number of slices she can eat in n minutes.
We are told that she can eat 7 slices in 0 minutes: H(0)=7
(Note that that piece of given information is nonsense... she can't eat 7 slice "immediately" -- i.e., in zero time.... But we must go ahead with the problem as stated, regardless of the absurdity.)
We are also told that she can eat 16 slices of ham in 3 minutes: H(3)=16
The function is linear, of the form H(n)=an+b.
Given H(0)=7, we know b=7: H(n)=an+7
And given H(3)=16, we know
16=a(3)+7
9=3a
a=3
and so
H(n)=3n+7
That's the answer to part (A); I leave it to you to use the formula to answer parts B and C
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