To find the number of clients Jamie has after 6 months, we can use the expression \( 50 \cdot 2^m \), where \( m \) represents the number of months.
To determine how Jamie reached 3,200 clients after 6 months, we substitute \( m = 6 \) into the expression:
\[ 50 \cdot 2^6 \]
Calculating \( 2^6 \):
\[ 2^6 = 64 \]
Now, multiply that by 50:
\[ 50 \cdot 64 = 3200 \]
Therefore, the correct option is:
Jamie substituted \( m=6 \) into the expression \( 50 \cdot 2^6 = 3200 \).