1. Stating the problem: We know the battery was charged from 23% to 89% over 30 minutes. We need to find: - How fast the battery was charged in percent per minute. - How long it takes for the battery to be fully charged from 0% to 100% at the same charging rate. 2. Calculate the increase in percentage: $$\text{Percentage increase} = 89 - 23 = 66\%$$ 3. Calculate the charging rate (percent per minute): $$\text{Rate} = \frac{\text{Percentage increase}}{\text{Time}} = \frac{66}{30} = 2.2\%\text{ per minute}$$ 4. Calculate the time to charge fully from 0% to 100%: We use the charging rate to find time for full charge: $$\text{Time} = \frac{100\%}{2.2\% \text{ per minute}} = \frac{100}{2.2} \approx 45.45 \text{ minutes}$$ 5. Final answers: - Charging rate: 2.2 percent per minute. - Time to fully charge from 0%: approximately 45.45 minutes.