Maths-
SAT
Easy

Question

Sanjay works as a teacher’s assistant for $20 per hour and tutors privately for $25 per hour. Last week, he made at least $100 working x hours as a teacher’s assistant and y hours as a private tutor. Which of the following inequalities models this situation?

  1. 4x +5y ≥ 25
  2. 4x + 5y ≥ 20
  3. 5x + 4y ≥ 25
  4. 5x + 4y ≥ 20

The correct answer is: 4x + 5y ≥ 20


    Working x hours as teacher's assistant = $ 20x
    Working y hours as teacher's assistant = $ 25y
    The income earned is minimum of $ 100.
    20x + 25y greater or equal than 100
    4x + 5y greater or equal than 20.

    A system of equations is a collection or set of equations that are dealt with together. These equations can be graphed and algebraically solved. The intersection of two lines is the solution to the system of equations. This article goes into detail about the Algebraic Technique To Solve System Of Equations.
    ¶A linear equation is one that has one or more variables and produces a straight line when plotted. The system of linear equations is defined as two or more linear equations with two or more variables that are all considered at the same time.

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