Suppose that the demand and price for a certain model of graphing calculator are related by $ p=D(q)=96-1.5 q $, where $ p $ is the price (in dollars) and $ q $ is the demand (in hundreds). Find the price if the demand is 600 calculators.
A) $ \$ 105.00 $
B) $ \$ 87.00 $
C) $ \$ 6.00 $
D) $ \$ 186.00 $

Question

Quizplus · Accepted Answer

Given the demand function $ p = 96 - 1.5q $ and the demand $ q = 600 $ calculators, we first convert the demand into hundreds, as the function requires, giving us $ q = 6 $. Substituting $ q = 6 $ into the demand function gives $ p = 96 - 1.5(6) = 96 - 9 = 87 $. Therefore, the price is $ \$87.00 $.

Suppose That the Demand and Price for a Certain Model p=D(q)=96−1.5q p=D(q)=96-1.5 q p=D(q)=96−1.5q

Suppose That the Demand and Price for a Certain Model $p=D(q)=96-1.5 q$