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The image you've uploaded contains a graph along with a set of questions related to carbon dioxide emissions over time. Let's tackle the specific questions based on the information visible:

1. **State the vertical intercept** (part b):  
   The vertical intercept occurs where the graph crosses the y-axis. Based on the graph, the carbon dioxide emissions per capita (in tonnes) at the start (around 1960) appear to be around **16 tonnes**. This would be the vertical intercept value.

2. **Evaluate C(10) and label the units** (part d):  
   To evaluate \( C(10) \), look at the graph when the years since 1960 equals 10 (which is around 1970). From the graph, it seems that around this time, carbon emissions were approximately **17 tonnes**. The units for \( C(10) \) are tonnes of carbon dioxide emissions per person.

3. **Solve C(t) = 16** (part e):  
   To find where \( C(t) = 16 \), look for the points on the graph where the carbon emissions are equal to 16 tonnes. This appears to happen around **1960** and again approximately **2000-2010**. Thus, \( C(t) = 16 \) occurs at these times.

Would you like to delve deeper into any specific part of the analysis or need further details on a specific question?

Here are five related questions for further exploration:
1. How does the slope of the graph change over the years?
2. What factors might contribute to the changes in carbon dioxide emissions over time?
3. Can the graph be modeled by a specific type of mathematical function?
4. How would you interpret the areas of the graph where the curve flattens?
5. What predictions could you make about future emissions based on the graph?

**Tip:** Always check the units on both axes when interpreting a graph. They provide vital context for understanding trends.

Evaluate C(10) and label the units, Solve C(t) = 16 using the graph of carbon dioxide emissions over time.

Learn how to evaluate carbon dioxide emissions per capita using a graph and solve C(t) = 16. This problem covers graph interpretation and linear functions, suitable for students in Grades 9-11.

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