Based on the equation P-a-bQ, formulate 5 Demand Equations.

To formulate five demand equations based on the equation \( P = a - bQ \), where \( P \) represents the price, \( Q \) represents the quantity demanded, \( a \) is the intercept, and \( b \) is the slope of the demand curve, I will assign different values to \( a \) and \( b \).

Here are five demand equations:

1. \( P = 100 - 2Q \)
2. \( P = 80 - 1.5Q \)
3. \( P = 120 - 3Q \)
4. \( P = 90 - 0.5Q \)
5. \( P = 150 - 4Q \)

These equations represent different demand functions, where the price decreases as the quantity demanded increases, reflecting the typical downward-sloping nature of demand curves.

Do you want details on how these equations were constructed, or have any questions?

Here are 5 related questions:

1. How does the slope \( b \) affect the demand curve?
2. What does the intercept \( a \) represent in the context of demand?
3. How can you determine the equilibrium quantity using both supply and demand equations?
4. How does a change in the intercept \( a \) shift the demand curve?
5. What happens to the quantity demanded when the price changes in each equation?

**Tip:** The slope \( b \) in a demand equation shows how sensitive the quantity demanded is to changes in price. A larger \( b \) results in a steeper demand curve, indicating less sensitivity.

Explore how to formulate five demand equations based on the linear demand equation P = a - bQ. Each equation varies in intercept and slope, illustrating the relationship between price and quantity demanded. Suitable for students studying economics or mathematics in Grades 10-12.

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