Question

Tamika has received an average of 97% on all of her math tests, has done well on her homework assignments, and participates in class regularly. If her math teacher weights scores on tests at 60%, homework at 20%, and participation at 20%, which statement is most likely true about Tamika’s course grade for her math class?

She will earn a failing grade and have to retake math for the year
She will earn a low but passing grade in math for the year.
She will earn an average grade in math for the year.
She will earn a good grade in math for the year.

Answer 1

Given Tamika's performance, we can analyze her likely course grade based on the weighted contributions of her scores:

- Test scores: 97% (weighted at 60%)
- Homework assignments: Assuming she also performed well, let's say she scores in the 90s as well (for argument's sake, we'll estimate 95% and weigh it at 20%).
- Participation: Assuming she participates well, we'll estimate this score to also be around 95% (weighted at 20%).

Now we can calculate her overall grade:

1. Weighted test score: \( 97\% \times 0.6 = 58.2\%\)
2. Weighted homework score: \( 95\% \times 0.2 = 19.0\%\)
3. Weighted participation score: \( 95\% \times 0.2 = 19.0\%\)

Now, let's add these contributions together:

\[
58.2 + 19.0 + 19.0 = 96.2\%
\]

Considering these calculations, Tamika is likely to earn a grade around 96.2%, which is definitely a good grade.

Therefore, the statement that is most likely true about Tamika’s course grade for her math class is:

**She will earn a good grade in math for the year.**