Suppose the quantity demanded weekly of the super titan radial tires is related to its unit price by the equation

p + x2 = 324

where p is measured in dollars and x is measured in units of a thousand. how fast is the quantity demanded weekly changing when

x = 6,

p = 288,

and the price per tire is increasing at the rate of $2/week? (round your answer to the nearest tire.)

The rate of change of weekly demand is -1/6.

Step-by-step explanation:

It is given that the quantity demanded weekly of the Super Titan radial tires is related to its unit price by the equation

where p is measured in dollars and x is measured in units of a thousand.

We need to find the rate of change in weekly demand, when x=6, p=288 and .

Subtract p from both sides.

Differential with respect to t.

Divide both sides by 2x.

Substitute x=6 and in the above equation.

Rate of change in weekly demand is 0 (approximate to the nearest tire). It dose not make any sense.

Therefore, the rate of change of weekly demand is -1/6.