Determine what the next equation would be, and verify that it is indeed a true statement. \( (6 \times 1) \times(2 \times 1)=12 \) \( (6 \times 10) \times(2 \times 2)=240 \) \( (6 \times 100) \times(2 \times 3)=3,600 \) A. \( (6 \times 1000) \times(2 \times 4)=42,000 \) B. \( (6 \times 1000) \times(2 \times 4)=48,000 \) C. \( (6 \times 1000) \times(2 \times 4)=54,000 \) D. \( (6 \times 1000) \times(2 \times 4)=4,800 \)

We are given the pattern: 1. \( (6 \times 1) \times (2 \times 1)=12 \) 2. \( (6 \times 10) \times (2 \times 2)=240 \) 3. \( (6 \times 100) \times(2 \times 3)=3,600 \) **Step 1. Identify the pattern** - The first factor in each equation uses powers of 10 for the multiplier: \(1, 10, 100,\) and the next should be \(1000\). - The second factor multiplies 2 by an increasing integer: \(1, 2, 3,\) and the next should be \(4\). Thus, the next equation is \[ (6 \times 1000) \times (2 \times 4) \] **Step 2. Compute each part** - Compute \(6 \times 1000 = 6000\). - Compute \(2 \times 4 = 8\). **Step 3. Multiply the results** \[ 6000 \times 8 = 48000. \] **Step 4. Verify options** The option that states \( (6 \times 1000) \times (2 \times 4)=48{,}000 \) is option B. Thus, the correct statement is: \[ \boxed{(6 \times 1000) \times (2 \times 4)=48{,}000} \]