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A teacher is creating an assignment worth 70 points.The assignment will consist of questions worth1 point and questions worth 3 points. Whichequation represents this situation, where x representsthe number of 1-point questions and y represents thenumber of 3-point questions?A) xy4 = 70B) x y4( + ) = 70C) x y3 + = 70D) x y+ 3 = 70

Question

A teacher is creating an assignment worth 70 points.The assignment will consist of questions worth1 point and questions worth 3 points. Whichequation represents this situation, where x representsthe number of 1-point questions and y represents thenumber of 3-point questions?A) xy4 = 70B) x y4( + ) = 70C) x y3 + = 70D) x y+ 3 = 70

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Solution

The correct equation that represents this situation is D) x + 3y = 70. This equation means that the sum of the points from the 1-point questions (x) and the points from the 3-point questions (3y) equals the total points of the assignment (70).

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