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# At the Smith, Inc. company, the number of employees needed to work per year is modeled by the function f(x).

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At the Smith, Inc. company, the number of employees needed to work per year is modeled by the function f(x).

f(x)=500/1+19e^−0.6x

Which statements are true about the number of employees?

The company started with 20 employees.

The maximum number of employees for the company is 500.

The third year is the first year in which the company will have more than 100 employees.

The rate of the number of employees per year increases for all values of x.

Mar 11, 2018

#1
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At year ZERO    x = 0

Substituting this into the equation yields

f(x) = 500/20 = 25  employees

At year 2  (x=2)   yields   74

At year 3   (x=3)  yields   employees = 120

After sa certain number of years the  e^-0.6x becomes very very small  (~0) and the maximum employees (500) will be reached.

Can you pick out the true statements now?

Mar 11, 2018
#2
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Urm, the second and third statements are correct?

Guest Mar 11, 2018