Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim's purchase, including postage and handling, in terms of n ?
(A) 8n + 2
(B) 8n + 4
(C) 9n + 2
(D) 9n + 3
(E) 9n + 4
The OA is C.
I am confused. I thought the correct answer should be A. Why is C?
Kim purchased n items from a catalog for $8 each.
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Hi VJesus12,VJesus12 wrote:Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim's purchase, including postage and handling, in terms of n ?
(A) 8n + 2
(B) 8n + 4
(C) 9n + 2
(D) 9n + 3
(E) 9n + 4
The OA is C.
I am confused. I thought the correct answer should be A. Why is C?
Let's take a look at your question.
Let's first find the total purchase price.
Kim purchased n items for $8 each, therefore, the total purchase price of n items is 8n.
Now, let's find the postage and handling charges of n items, which is $3 for the first item and $1 for each additional item.
Total postage and handling charges = 3 + 1*(n-1) = 3 + n - 1 = n + 2
Total dollar amount of Kim's purchase, including postage and handling = Purchase price + total postage and handling charges
= 8n + n + 2 = 9n + 2
Therefore, Option C is correct.
Hope it helps.
I am available if you'd like any follow up.
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Since Kim purchased n items from a catalog, we can create the following expression:VJesus12 wrote:Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim's purchase, including postage and handling, in terms of n ?
(A) 8n + 2
(B) 8n + 4
(C) 9n + 2
(D) 9n + 3
(E) 9n + 4
8n + 3 + 1(n - 1) = 8n + 3 + n - 1 = 9n + 2
Answer: C
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