Given:
A local carpenter uses the function f(x) to determine the amount earned after selling x number of book cases.
[tex]f(x)=180x[/tex]
He has to sell between 5 and 10 bookcases each month in order to meet his sales goal.
To find:
The domain for this situation.
Solution:
We have,
[tex]f(x)=180x[/tex]
where, f(x) is the amount earned be carpenter after selling x number of book cases.
Domain is the set of input values.
Here, input values are number of books he has to sell, which can be a fraction value.
Since, he has to sell between 5 and 10 bookcases each month in order to meet his sales goal, therefore the x values must be integers between 5 and 10.
Therefore, the domain for this situation is set of integers between 5 and 10, i.e., {5,6,7,8,9,10}.