Sales of a product, under relatively stable market conditions but in the absence of promotional activities such as advertising, tend to decline at a constant yearly rate. This rate of sales decline varies considerably from product to product, but seems to remain the same for any particular product. The sales decline can be expressed by the function defined by the next formula. S(t) = So e -at In this formula S(t) is the rate of sales at timet measured in years, So is the rate of sales at time t=0 and a is the sales decay constant. If a = 0.05 and Sn = 100,000, find the number of years it will take for sale to fall to half the initial sales. It will take about years for sales to fall to half the initial sales. (Type an integer or decimal rounded to the nearest tenth as needed.)

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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: