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.

A) 7k + 3
B) 3k + 7
C) 3k + 4

Answer 1

Divide 35k^2 + 29K + 6 by 5k + 2

Solution 7K + 3

Answer 2

Answer: The average cost per item is (A)
`7k+3.`

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

`A_c\\\\\\=(35k^2+29k+6)/(5k+2)\\\\\\=(35k^2+14k+15k+6)/(5k+2)\\\\\\=(7k(5k+2)+3(5k+2))/(5k+2)\\\\\\=((5k+2)(7k+3))/((5k+2))\\\\\\=7k+3.`

Thus, the average cost per item of the purchase is
`(7k+3).`