A retail store estimates that weekly sales s and weekly advertising costs x​ (both in​ dollars) are related by s=50,000−30,000e−0.00025x. The current weekly advertising costs are ​$4,000​, and these costs are increasing at a rate of ​$400 per week. Find the current rate of change of sales. The current rate of change of sales is ​$blank per week.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: