Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 6 p plus 3 x plus 2 pxequals69. Suppose also that p and x are both functions of time, measured in days. Find the rate at which x is changing when xequals3, pequals5, and StartFraction dp Over dt EndFraction equals1.5.

Step-by-step explanation:

The price p, in dollars, and the number of sales, x, of a certain item follow the equation: 6p+3x+2px=69

Taking the derivative of the equation with respect to time, we obtain:

When x=3, p=5 and

The number of sales, x is decreasing at a rate of 1.3846 sales per day.

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step-by-step explanation: