We can use proportions to estimate the number of homes in Claiborne County that can access the Internet based on the survey results.
If 135 out of 300 homes surveyed can access the Internet, then the proportion of homes in Claiborne County that can access the Internet can be estimated as:
135/300 = x/45000
where x is the number of homes in Claiborne County that can access the Internet.
Solving for x, we get:
x = (135/300) * 45000 = 20,250
Therefore, we would expect approximately 20,250 homes in Claiborne County to be able to access the Internet based on the survey results. Note that this is just an estimate, and the actual number of homes in Claiborne County that can access the Internet may be different.