Each month Ms. Tanaka is paid a base salary of $2,500 in addition to $100 for each television that she sells. This is modeled by 2,500 + 100t

, where t
represents the number of televisions. Evaluate for t = 12
to find how much Ms. Tanaka will earn for selling 12 televisions this month.

1 answer

To find how much Ms. Tanaka will earn for selling 12 televisions, we can substitute \( t = 12 \) into the given formula:

\[ \text{Earnings} = 2,500 + 100t \]

Substituting \( t = 12 \):

\[ \text{Earnings} = 2,500 + 100(12) \]

Now calculate \( 100 \times 12 \):

\[ 100 \times 12 = 1,200 \]

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 this month.