A start-up company opened with 8 employees.
The company’s growth plan assumes that 2 new
employees will be hired each quarter (every
3 months) for the first 5 years. If an equation is
written in the form y = ax + b to represent the
number of employees, y, employed by the
company x quarters after the company opened, what
is the value of b ?

Respuesta :

By representing the equation is written in the form y = ax + b .

The value of b is 8.

According to the question

A start-up company opened with 8 employees.

So, Number of employees = 8

At zero quarter = 8

The company’s growth plan assumes that 2 new employees will be hired each quarter

After 1 quarter = Number of employees + 2 new employees

After one quarter = 8 + 2 = 10

Equation is written in the form y = ax + b to represent the number of employees, y, employed by the company x quarters after the company opened

y = ax  + b

10 = 2 × 1 + b

10 = 2 + b

Subtract 2 on both sides of the equation

b = 10 - 2

b = 8

The value of b is 8.

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