1. **State the problem:** We need to find the percent of change in Vera's final average from seventh grade (96) to eighth grade (91).
2. **Formula for percent change:**
$$\text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100\%$$
3. **Apply the values:**
$$\text{Percent Change} = \frac{91 - 96}{96} \times 100\%$$
4. **Calculate the numerator:**
$$91 - 96 = -5$$
5. **Substitute back:**
$$\text{Percent Change} = \frac{-5}{96} \times 100\%$$
6. **Simplify the fraction:**
$$\text{Percent Change} = -\frac{5}{96} \times 100\%$$
7. **Calculate the decimal:**
$$-\frac{5}{96} \approx -0.05208$$
8. **Multiply by 100 to get percent:**
$$-0.05208 \times 100\% = -5.208\%$$
9. **Interpretation:** The negative sign means a decrease.
**Final answer:** Vera's final average decreased by approximately **5.21%** from seventh grade to eighth grade.
Percent Change Ae132B
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