The data on the table represents linear equation.
It will take 2.3 years for the subscribers to be the same
Let x represent the number of years.
The number of subscriber (y) in x years is:
[tex]y= Current + New \times x[/tex]
For Nevada, we have:
[tex]y= 3765+ 325\times x[/tex]
[tex]y= 3765+ 325x[/tex]
For Texas, we have:
[tex]y= 3842+ 292\times x[/tex]
[tex]y= 3842+ 292x[/tex]
The number of years when the subscribers will be the same is:
[tex]y = y[/tex]
So, we have:
[tex]3765 + 325x = 3842 + 292x[/tex]
Collect like terms
[tex]325x - 292x = 3842 - 3765[/tex]
[tex]33x = 77[/tex]
Solve for x
[tex]x = \frac{77}{33}[/tex]
[tex]x = 2.3[/tex]
It will take 2.3 years for the subscribers to be the same
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