SOLUTION: 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 numbe

Algebra.Com
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(52782)   (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
RELATED QUESTIONS

MAT 145: Topics In Contemporary Math QUESTION 1 Write the negation of the... (answered by MathLover1,ikleyn)
MAT 145: Topics In Contemporary Math QUESTION 11 What is 7 * 5 on a... (answered by ikleyn,math_tutor2020)
MAT 145: Topics In Contemporary Math QUESTION 8 Find the number 85 on... (answered by ikleyn)
MAT 145: Topics In Contemporary Math QUESTION 8 Find the number 85 on... (answered by Alan3354)
MAT 145: Topics In Contemporary Math QUESTION 3 Soot sprites leave... (answered by ikleyn)
MAT 145: Topics In Contemporary Math QUESTION 7 Determine if the argument is valid... (answered by Edwin McCravy,math_tutor2020)
MAT 145: Topics In Contemporary Math More Modular Arithmetic Find each of... (answered by ikleyn)
Name: MAT 145: Topics In Contemporary Math Bases Convert each of (answered by MathLover1,greenestamps)
MAT 145: Topics In Contemporary Math 18: Logarithms Can Someone please... (answered by ikleyn)