SOLUTION: A person purchased 5k + 2 items for the cost of 35k^2 + 29k + 6. Find the average cost per item of this purchase. _____?

Algebra ->  Equations -> SOLUTION: A person purchased 5k + 2 items for the cost of 35k^2 + 29k + 6. Find the average cost per item of this purchase. _____?      Log On


   

Question 201167: A person purchased 5k + 2 items for the cost of 35k^2 + 29k + 6. Find the average cost per item of this purchase.
_____?
Found 2 solutions by Earlsdon, RAY100:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the average cost by dividing the total cost of the items (35k%5E2%2B29k%2B6) by the number of items purchased (5k%2B2).
C%5Bave%5D+=+%2835k%5E2%2B29k%2B6%29%2F%28%285k%2B2%29%29 First, factor the trinomial in the numerator.
C%5Bave%5D+=+%28%287k%2B3%29%2Across%28%285k%2B2%29%29%29%2F%28cross%28%285k%2B2%29%29%29 Now cancel the common factors %28%285k%2B2%29%29as shown.
highlight%28C%5Bave%5D+=+7k%2B3%29

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Average is total cost / number
.
(35 k^2 +29k +6) / (5k+2)
.
[ ( 5k+2)(7k+3)] / ( 5k+2)
.
cancel like factors
.
7k +2,,,,,avg cost