Question

The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees who have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees who have been with the company for at least three years, but fewer than six years can expect an increase of $1.00. Employees who have been with the company for at six years, but fewer than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but fewer than twelve years receive an increase of $2.00. Which of the following tables accurately represents the hourly wage increase for some of the employees?

Answer 1

The following tables accurately represents the hourly wage increase for some of the employees :

years 1 : $0.5

years 3 : $ 1.00

years 6 : $1.50

years 9 : $2.00

years 12 :$2.50

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases / terms
• 2. variable
• 3. constants
• 4. arithmetic operations
• 5. coefficients
• 6. exponent

It says inequality if there are symbol forms like <,>, ≤ or ≥

For example x = hourly wage

• Employees who have been with the company for less than three years can expect to receive an increase of $ 0.50 per hour.

we translate this sentence into Algebraic expressions:

less than means " <  "

x <3 years = $ 0.50

• Employees who have been with the company for at least three years, but fewer than six years can expect an increase of $ 1.00.

at least means equality

fewer than means " <  "

3≤ x 6 = $ 1.00.

• Employees who have been with the company for at six years, but  fewer than nine years, receive an increase of $ 1.50 per hour

6≤x <9 = $ 1.50

• Employees of at least nine years, but fewer than twelve years receive an increase of $ 2.00.

9≤ x <12 = $ 2.00

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an algebraic expression

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Keywords :  an algebraic expression , Employees, hourlywage

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