The percentage of employees who cease their employment during a year is referred to as employee turnover, and it is a serious issue for businesses. The following table shows the cost, in millions of dollars, to a certain company for a given employee turnover percentage in a year. E = employee turnover 10 20 30 40 C = cost 200 350 500 650 (a) Show that the data can be modeled by a linear function. For each increase in employee turnover by ten percent the cost increases by ________  million dollars. (b) Find the slope of the linear function.  __________million dollars per percentage point (c) Find a linear model for the data. C(E) = _______       (d) Use the result from part (c) to find the cost to the company if employee turnover is 33% in a year.  ________million dollars

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.