Final answer:
The quantity demanded of personal pizzas at a price of $2 each is 12, calculated using the demand equation Qd = 16 - 2P.
Step-by-step explanation:
When a pizza at a pizzeria has a regular price of x dollars and is discounted by 15%, the discounted price is represented by the expression 0.85x. If the price of each personal pizza will be $2, we can calculate the quantity demanded using the demand equation Qd = 16 - 2P. Plugging in the price P = $2 into the equation, we get Qd = 16 - 2(2), which simplifies to Qd = 12. Thus, consumers will buy 12 personal pizzas at the price of $2 each.