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Let's analyze the problem and solve the questions step by step by examining the graph and using basic principles of supply and demand.

### (a) If the price is $4, what is the quantity supplied?
From the graph, we observe that the relationship between price and quantity supplied is linear. We can determine the corresponding quantity for a price of $4 by estimating from the graph.

By tracing the line:
- At $4, the quantity supplied appears to be around **300 units**.

### (b) If the quantity supplied is 300, what is the price?
We already identified from part (a) that when the price is $4, the quantity supplied is 300 units. Hence, the price for a supply of 300 units is **$4**.

### (c) If the price is $6, resulting in a quantity supplied of 400, what is the new quantity supplied when the price falls to $3?
The graph indicates a linear relationship between price and quantity supplied. We know:
- At $6, the quantity supplied is 400 units.
- At $3, we need to determine the corresponding quantity.

We can find the slope of the supply curve:
1. Slope $ m $ of the supply curve can be calculated using two points: 
   - (Price $6$, Quantity 400) 
   - (Price $0$, Quantity 0).

Thus, the slope $ m = \frac{400 - 0}{6 - 0} = \frac{400}{6} = 66.67 $ units per dollar.

2. Now, using the slope to calculate the quantity supplied at $3:
   \[
   \text{Quantity Supplied} = m \times \text{Price} = 66.67 \times 3 = 200 \, \text{units}
   \]

Therefore, when the price falls to $3, the new quantity supplied is **200 units**.

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Would you like a more detailed breakdown of any part? Here are some related questions you can explore:

1. How does a change in price generally affect the quantity supplied?
2. What is the mathematical equation of the supply curve based on the graph?
3. If the price were to increase to $8, what would the expected quantity supplied be?
4. How does this supply relationship demonstrate the law of supply?
5. How could external factors shift the entire supply curve?

**Tip:** The slope of a supply curve tells you how responsive the quantity supplied is to a change in price!

Refer to the graph and answer the following questions: (a) Suppose the price is $4. What is the Quantity Supplied? (b) Suppose the Quantity Supplied is 300. What must the price be? (c) Suppose the price is $6 resulting in a Quantity Supplied of 400. Then the price falls to $3. What is the new Quantity Supplied?

Analyze the supply curve to answer questions about how price affects the quantity supplied. Learn to calculate the slope of a linear supply curve and apply this knowledge to real-world scenarios. Suitable for students in Grades 9-12.

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