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Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

x plus y, equals 75

The equation above relates the number of minutes, x, Maria spends running each day and the number of minutes, y, she spends biking each day. In the equation, what does the number 75 represent?

ExplanationShow

Choice C is correct. Maria spends x minutes running each day and y minutes biking each day. Therefore, x plus y represents the total number of minutes Maria spent running and biking each day. Because x plus y equals 75, it follows that 75 is the total number of minutes that Maria spent running and biking each day.

Choices A and B are incorrect. The number of minutes Maria spent running each day is represented by x and need not be 75. Similarly, the number of minutes that Maria spends biking each day is represented by y and need not be 75. The number of minutes Maria spends running each day and biking each day may vary; however, the total number of minutes she spends each day on these activities is constant and equal to 75. Choice D is incorrect. The number of minutes Maria spent biking for each minute spent running cannot be determined from the information provided.

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