Question

It takes 20 hours and $400 to interview a candidate, and it takes 120 hours and $3600 to train an employee.

Answer 1

Answer:

$400x+3600y$

Step-by-step explanation:

The first thing we need to do is to identify the characteristics of this problem. As you can see, this situation has restriction, limitations on how much money and time they can spend.

In mathematics, restrictions are expressed with inequalities, because it gives us the power to express in terms of more or less than something. When we have this inequality-restrictions problems, it's very helpful to organise all info, so according to the problem, we have:

                              $        hr        

Candidates (x)   400       20

Employees (y)  3600     120

      Max.           95000   470

We this organisation, we can easily find expressions, the important thing here is to put together similar variables, money with money and time with time.

So, you can see that, the maximum money they can spend is 95000, and the maximum time is 470 hours, which give us:

$400x+3600y$

As you can see, for money inequality, we used < (less than), and for hours we used ''less or equal than''. This difference is because in the text it says that they has less than 95000 (not equal than 95000), and for hours they have at most 470 (meaning that this is a maximum, 470 and below that number).

Therefore, those two inequality express the restriction about money and time limitations for candidates and employees.