Answer:
The equation representing the the scenario is [tex]72+6m=144[/tex].
It will take 12 month for the company to doubled the number of employees.
Step-by-step explanation:
Given:
Number of employees in the company =72
Number of employee increase per month = 6
We need to find the number of months required to double the number of employees.
Solution:
Doubled number of employees = [tex]2\times[/tex] Number of employees = 144
Let the number of months be 'm'
So we can say that;
Doubled number of employees is equal to Current number of employees in the company plus Number of employee increase per month multiplied by number of months.
framing in equation form we get;
[tex]72+6m=144[/tex]
Hence The equation representing the the scenario is [tex]72+6m=144[/tex].
On solving the above equation we get;
we will subtract both side by 72 we get;
[tex]72+6m-72=144-72\\\\6m=72[/tex]
Dividing both side by 6 we get;
[tex]\frac{6m}{6}=\frac{72}{6}\\\\m =12[/tex]
Hence It will take 12 month for the company to doubled the number of employees.
