Question

is starting a new marketing strategy that causes her number of clients to grow exponentiallyJamie starts with 50 clients, and each month, her number of clients doubles. The expression 50 * 2 ^ m 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 ) Jamie substituted m = 6 into the expression 6 * 2 ^ 50 = 3200 Jamie substituted m = 6 into the expression 50 * 2 ^ 6 = 3200 Jamie substituted m = 6 into the expression 50 * 6 ^ 2 = 1800 Jamie substituted m = 6 into the expression 50 * 2 * 6 = 600

Answer 1

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."**