Question

A person purchased 5k + 2 items for a total cost of 35k 2 + 29k + 6. Find the average cost per item of this purchase.

Answer 1

Answer:

$\boxed{7k + 3}$

Step-by-step explanation:

Average cost = total cost/number of items = (35k² + 29k + 6)/(5k + 2)

Perhaps the best way to solve this problem is to use long division.

                       7k  + 3  

5k + 2)35k² + 29k + 6

          35k² +  14k              

                       15k + 6

                       15k + 6

                                0

Thus,

$\frac{35k^{2}+29k+ 6}{5k + 2} = 7k+3$

The average cost per item is $\boxed{7k+3}$.