To find out how Jamie reached the solution of having 3,200 clients after 6 months, we can look at the correct way to substitute and evaluate the expression.
The expression provided is \( 50 \cdot 2^m \). To find out the number of clients after 6 months, substituting \( m = 6 \) gives us:
\[ 50 \cdot 2^6 \]
Calculating \( 2^6 \):
\[ 2^6 = 64 \]
Now, multiplying that by 50:
\[ 50 \cdot 64 = 3200 \]
Thus, Jamie correctly reached her solution by substituting \( m = 6 \) into the expression \( 50 \cdot 2^m \).
The correct response is:
Jamie substituted m=6 into the expression 50⋅2^6=3200.