Question

andre manages a company that currently has 35 employees and is gaining 4 new employees each month. write an equation to represent the relationship between y, the total number of employees, and x, the number of months it has been

Answer 1

4x+4to the 3rd power of x duplicates into 9

Answer 2

`y=4x+35`

Explanation:

Linear Modeling

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need some relevant data to build the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format as:

y=mx+b

Where m and b are constants.

The data of the problem states that Andre has a company with 35 employees. The company acquires 4 new employees each month.

Let's call:

x=number of months

y=total number of employees

Since the company has 4 new employees each month, after x months it will have gained 4x employees, which added to the 35 actually working make the expression of our model:

`\mathbf{y=4x+35}`