Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France. Danielle's uncle sends her 2 more cards each month as he travels for business. The table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has. Number of Months Danielle
Has Been Collecting Cards Number of Cards in the
Collection
2 10
4 14
8 22
24 ?

How many cards can Danielle expect to have after 24 months?
A. 38
B. 48
C. 54
D. 146

The correct answer is C. 54.

Step-by-step explanation:

Since Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France, and Danielle's uncle sends her 2 more cards each month as he travels for business, and the table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has.

Number of Months Danielle

Has Been Collecting Cards Number of Cards in the

Collection

2 10

4 14

8 22

24?

To determine how many cards Danielle can expect to have after 24 months, the following calculation must be performed:

(24 x 2) + 6 = X

48 + 6 = X

54 = X

Therefore, after 24 months Danielle will have 54 cards.