Bobby wants to arrange 24 baseball cards in an array.

Question

Which of the following shows 3 ways the cards could be displayed?

(1 point)
Responses

2×12
, 4×4
, 6×8

2 × 12 , 4 × 4 , 6 × 8

3×12
, 4×6
, 6×6

3 × 12 , 4 × 6 , 6 × 6

2×12
, 3×8
, 4×6

2 × 12 , 3 × 8 , 4 × 6

2×14
, 3×8
, 4×6

Answer 1

To find the ways Bobby could arrange his 24 baseball cards in an array, we need to determine the factor pairs of 24. The pairs of factors are:

1. \( 1 \times 24 \)
2. \( 2 \times 12 \)
3. \( 3 \times 8 \)
4. \( 4 \times 6 \)

From the options provided, we can evaluate the arrangements:

1. 2 × 12, 4 × 4, 6 × 8

   • \(2 \times 12 = 24\) ✔️
   • \(4 \times 4 = 16\) ❌
   • \(6 \times 8 = 48\) ❌

2. 3 × 12, 4 × 6, 6 × 6

   • \(3 \times 12 = 36\) ❌
   • \(4 \times 6 = 24\) ✔️
   • \(6 \times 6 = 36\) ❌

3. 2 × 12, 3 × 8, 4 × 6

   • \(2 \times 12 = 24\) ✔️
   • \(3 \times 8 = 24\) ✔️
   • \(4 \times 6 = 24\) ✔️

4. 2 × 14, 3 × 8, 4 × 6

   • \(2 \times 14 = 28\) ❌
   • \(3 \times 8 = 24\) ✔️
   • \(4 \times 6 = 24\) ✔️

The correct response is:

2 × 12, 3 × 8, 4 × 6.