The supply function for a certain car is given b $p = 31 \left( 3 ^ { q } \right)$ ) cars, where p dollars is the price per car and q is the quantity of cars, in thousands, supplied at that price. What quantity will be supplied if the price is $67,797 per
Car?
A) 7 thousand cars
B) 8 thousand cars
C) 6 thousand cars
D) 9 thousand cars

Question

Quizplus · Accepted Answer

To find the quantity supplied, set the price equation $p = 31 \left( 3 ^ { q } \right)$ equal to $67,797 and solve for q:  $67,797 = 31 \left( 3 ^ { q } \right)$  Divide both sides by 31:  $2187 = 3 ^ { q }$  Recognize that $2187 = 3^7$, so $q = 7$.  Thus, 7 thousand cars will be supplied.

The Supply Function for a Certain Car Is Given B p=31(3q)p = 31 \left( 3 ^ { q } \right)p=31(3q)

The Supply Function for a Certain Car Is Given B $p = 31 \left( 3 ^ { q } \right)$