Question

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
2
,
500

+

100
𝑡
, where t
𝑡
represents the number of televisions. Evaluate for t = 12
𝑡

=

12
to find how much Ms. Tanaka will earn for selling 12 televisions this month.(1 point)
Responses

$2,600
$2,600

$31,200
$31,200

$3,700
$3,700

$2,612

Answer 1

To calculate Ms. Tanaka's total earnings for selling 12 televisions, we can substitute \( t = 12 \) into the formula:

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

Substituting \( t = 12 \):

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

Calculating the second term:

\[
100(12) = 1,200
\]

Now, add this to the base salary:

\[
\text{Total Earnings} = 2,500 + 1,200 = 3,700
\]

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

The correct response is **$3,700**.