A company has been forced to reduce its number of employees. Today the company has 33% fewer employees than it did a year ago. If there are currently 268 employees, how many employees did the company have a year ago?

Solution :

The number of employees currently in a company = 268

Percentage of employees less than a year ago = 33%

Let he number of people a year ago = x

∴ At present the number of employees =

   ⇒ 268 = x (1 - 0.33)

   ⇒ 268 = 1x -0.33 x

   ⇒ 268 = 0.67 x

    ⇒ x = 400

Number of employees in a year is = 400

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: