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.
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Original Test Score: \[ \text{Score} = \frac{13}{17} \] To convert to a percentage: \[ \text{Percentage} = \left(\frac{13}{17}\right) \times 100 \approx 76.47% \]
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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.