Question

Nicole founded a company with 6 employees and steadily hired 4 new employees each month.
Write an equation that shows the relationship between the number of months since Nicole founded the company, x, and the number of employees, y.

Answer 1

The linear equation that models the situation is given by:

$y = 4x + 6, x \geq 0$

The general format of a linear equation is:

$y = mx + b$

In which

• m is the slope, which is the rate of change.
• b is the y-intercept, which is the initial quantity.

In this problem:

• The company was founded with 6 employees, thus, $b = 6$.
• Each month, 4 new employees are hired, hence $m = 4$

Considering the number of months cannot be negative, the equation is:

$y = 4x + 6, x \geq 0$

A similar problem is given at https://brainly.com/question/16302622

Answer 2

Answer: y = x + 6

Step-by-step explanation:

A chart can help you find the relationship between x and y.

months (x) calculation of employees (y)         employees (y)

0                                    0+6                                            6

1                                      1+6                                             7

2                                     2+6                                            8

x                                      x+6                                            x+6

This is the pattern:

y is x plus 6

Write this relationship as an equation.