Answer: The average cost per item is (A) [tex]7k+3.[/tex]
Step-by-step explanation: Given that a person purchased (5k + 2) items for a total cost of (35k² + 29k + 6).
We are to find the average cost per item of this purchase.
We will be using the unitary method to solve the given problem.
Cost of (5k + 2) items = 35k² + 29k + 6.
Therefore, the cost of 1 item is given by
[tex]A_c\\\\\\=\dfrac{35k^2+29k+6}{5k+2}\\\\\\=\dfrac{35k^2+14k+15k+6}{5k+2}\\\\\\=\dfrac{7k(5k+2)+3(5k+2)}{5k+2}\\\\\\=\dfrac{(5k+2)(7k+3)}{(5k+2)}\\\\\\=7k+3.[/tex]
Thus, the average cost per item of the purchase is [tex](7k+3).[/tex]
