To find out how much Ms. Tanaka will earn for selling 12 televisions this month, we can use the formula given:
\[ \text{Earnings} = 2,500 + 100t \]
where \( t \) is the number of televisions sold.
Substituting \( t = 12 \):
\[ \text{Earnings} = 2,500 + 100(12) \]
Calculating \( 100 \times 12 \):
\[ 100 \times 12 = 1,200 \]
Now add this to her base salary:
\[ \text{Earnings} = 2,500 + 1,200 = 3,700 \]
Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions.
The correct answer is $3,700.