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.