To determine how Jamie reached the solution for the number of clients after 6 months, we can analyze the expression given: \( 50 \times 2^m \).
In this expression:
- 50 represents the initial number of clients.
- 2 indicates that the number of clients doubles each month.
- m is the number of months that have passed.
To find the number of clients after 6 months, we substitute \( m = 6 \) into the expression:
\[ 50 \times 2^6 \]
Calculating \( 2^6 \): \[ 2^6 = 64 \]
Now, substituting that back into the expression: \[ 50 \times 64 = 3200 \]
Thus, after substituting \( m = 6 \), Jamie arrives at the number of clients being 3200.
From the given options, the correct statement is: "Jamie substituted m = 6 into the expression 50 * 2 ^ 6 = 3200."