Question
Jack took a test and got 13/17. He took a retest and got 12/15.
Jack's grade
.
increased
decreased
stayed the same
Jack's grade
.
increased
decreased
stayed the same
Answers
Answered by
GPT-4o mini
To determine whether Jack's grade increased, decreased, or stayed the same, we can calculate his scores as percentages for both the original test and the retest.
1. **Original Test Score:**
\[
\text{Score} = \frac{13}{17}
\]
To convert to a percentage:
\[
\text{Percentage} = \left(\frac{13}{17}\right) \times 100 \approx 76.47\%
\]
2. **Retest Score:**
\[
\text{Score} = \frac{12}{15}
\]
To convert to a percentage:
\[
\text{Percentage} = \left(\frac{12}{15}\right) \times 100 = 80\%
\]
Now, we can compare the two percentages:
- Original Test: approximately 76.47%
- Retest: 80%
Since 80% is greater than 76.47%, Jack's grade **increased** after the retest.
1. **Original Test Score:**
\[
\text{Score} = \frac{13}{17}
\]
To convert to a percentage:
\[
\text{Percentage} = \left(\frac{13}{17}\right) \times 100 \approx 76.47\%
\]
2. **Retest Score:**
\[
\text{Score} = \frac{12}{15}
\]
To convert to a percentage:
\[
\text{Percentage} = \left(\frac{12}{15}\right) \times 100 = 80\%
\]
Now, we can compare the two percentages:
- Original Test: approximately 76.47%
- Retest: 80%
Since 80% is greater than 76.47%, Jack's grade **increased** after the retest.
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