Jamie is starting a new marketing strategy that causes her number of clients to grow exponentially. Jamie starts with 50 clients, and each month, her number of clients doubles. The expression 50⋅2m

can be used to model the expression.

Jamie found that after just 6 months, she had reached 3,200 clients. How did Jamie reach this solution?

(1 point)
Responses

Jamie substituted m=6
into the expression 50⋅6^2=1800
.


Jamie substituted m=6
into the expression 6⋅2^50=3200
.

Jamie substituted m=6
into the expression 50⋅2⋅6=600
.

Jamie substituted m=6
into the expression 50⋅2^6=3200
.

1 answer

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.