Question

A growing company has been hiring employees at a steady rate of 1 new hire per month. The company started with 2 employees. The growth of the company can be modeled by the function g (2) = 2 + 2, where x represents the number of months, and g(x) represents the number of employees. Evaluate the function over the domain {3,4, 18, 24}.

Answer 1

The function that represents the number of employees by the number of months is:

`g(x)\text{ = 2+x}`

For x = 3:

`\begin{gathered} g(3)\text{ = 2+3} \\ g(3)\text{ = 5} \end{gathered}`

For x=6:

`\begin{gathered} g(6)=2+6 \\ g(6)\text{ = 8} \end{gathered}`

For 18:

`\begin{gathered} g(18)\text{ = 2+18} \\ g(18)\text{ = 20} \end{gathered}`

For 24:

`\begin{gathered} g(24)=24+2 \\ g(24)=26 \end{gathered}`