Each month Ms. Tanaka is paid a base salary of $2,500 in addition to $100 for each television that she sells. This modeled by 2.500 + 100t, where r represents the number of televisions. Evaluate for t = 12 to find how much Ms. Tanaka will earn for selling 12 television this mouth

$2,600

$3,700

$2,612

$31,200

1 answer

To calculate Ms. Tanaka's total earnings for selling 12 televisions, we will use the formula given:

\[ \text{Total Earnings} = 2500 + 100t \]

where \(t\) represents the number of televisions sold.

Substituting \(t = 12\):

\[ \text{Total Earnings} = 2500 + 100 \cdot 12 \]

Calculating \(100 \cdot 12\):

\[ 100 \cdot 12 = 1200 \]

Now, add that to the base salary:

\[ \text{Total Earnings} = 2500 + 1200 = 3700 \]

Therefore, Ms. Tanaka will earn $3,700 for selling 12 televisions this month.

The correct answer is $3,700.