 Based on the equation P=a+bQ, formulate 5 supply Equations.

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

Here are five supply equations:

1. \( P = 50 + 2Q \)
2. \( P = 30 + 3Q \)
3. \( P = 75 + 1.5Q \)
4. \( P = 20 + 4Q \)
5. \( P = 100 + 0.5Q \)

These equations represent different supply functions, each with a unique intercept and slope, indicating how price (P) changes with the quantity supplied (Q).

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

**Tip:** The slope \( b \) indicates how responsive the quantity supplied is to changes in price. A larger \( b \) means a steeper supply curve.

Learn how to formulate five supply equations based on the linear equation P = a + bQ. Understand the relationship between price (P) and quantity supplied (Q) with different intercepts (a) and slopes (b). Suitable for high school students studying economics or algebra.

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