1. **State the problem:** We are given a function $w(t)$ representing the total number of words Mary typed over time $t$ in minutes. We need to find $w(60)$ and interpret its meaning. 2. **Understanding the function:** The function $w(t)$ gives the total words typed up to time $t$. So, $w(60)$ is the total words typed in the first 60 minutes. 3. **From the graph:** At $t=60$ minutes, $w(60) = 2400$ words. 4. **Interpretation:** This means Mary typed 2400 words during the first 60 minutes (the first hour). 5. **Answer for Part A:** $w(60) = 2400$. This means Mary typed 2400 words during the first 60 minutes. 6. **Part B: Calculate average rate of change during second hour (60 to 120 minutes).** 7. **Formula for average rate of change:** $$\text{Average rate of change} = \frac{w(t_2) - w(t_1)}{t_2 - t_1}$$ where $t_1=60$ and $t_2=120$. 8. **From the graph:** - $w(60) = 2400$ - $w(120) = 4200$ 9. **Calculate:** $$\frac{w(120) - w(60)}{120 - 60} = \frac{4200 - 2400}{60} = \frac{1800}{60} = 30$$ 10. **Interpretation:** The average rate of change is 30 words per minute during the second hour. 11. **Answer for Part B:** The average rate of change is 30, meaning Mary typed on average 30 words per minute during the second hour. **Final answers:** - Part A: $w(60) = 2400$, meaning Mary typed 2400 words during the first 60 minutes. - Part B: Average rate of change = 30 words per minute during the second hour.