Question

A local carpenter uses the function LaTeX: f\left(x\right)=180xf ( x ) = 180 x to determine the amount earned after selling LaTeX: xx number of book cases. He has to sell between 5 and 10 bookcases each month in order to meet his sales goal. Find the domain for this situation. Group of answer choices

Answer 1

Given:

A local carpenter uses the function f(x) to determine the amount earned after selling x number of book cases.

$f(x)=180x$

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,

$f(x)=180x$

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}.