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

Question

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⋅26=3200
.
Jamie substituted m is equal to 6 into the expression 50 times 2 to the 6th power is equal to 3200.

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 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⋅62=1800
.

Answer 1

The correct response is:

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

This indicates that she correctly used the formula for her exponential growth, substituting \( m \) with 6 months to calculate the number of clients. Given that \( 50 \cdot 2^6 = 50 \cdot 64 = 3200 \), this confirms her calculation.