To find Ms. Tanaka's total earnings for selling 12 televisions, we can substitute \( t = 12 \) into the formula \( 2,500 + 100t \).
\[ \text{Earnings} = 2,500 + 100(12) \]
Now, calculate \( 100 \times 12 \):
\[ 100 \times 12 = 1,200 \]
Next, add this to the base salary:
\[ \text{Earnings} = 2,500 + 1,200 = 3,700 \]
Thus, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.