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⋅2⋅6=600
.
Jamie substituted m is equal to 6 into the expression 50 times 2 times 6 is equal to 600.

Jamie substituted m=6
into the expression 50⋅62=1800
.
Jamie substituted m is equal to 6 into the expression 50 times 6 squared is equal to 1800.

Jamie substituted m=6
into the expression 6⋅250=3200
.
Jamie substituted m is equal to 6 into the expression 6 times 2 to the 50th power is equal to 3200.

Jamie substituted m=6
into the expression 50⋅26=3200
.

1 answer

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 \( 50 \cdot 2^6 = 3200 \).