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Linear inequalities in one or two variables SAT question

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

Ty set a goal to walk at least kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?

ExplanationShow

Choice B is correct. It's given that Ty plans to walk at an average speed of kilometers per hour. The number of kilometers Ty will walk is determined by the expression , where is the number of hours Ty walks. The given goal of at least kilometers means that the inequality represents the situation. Dividing both sides of this inequality by gives  , which corresponds to a minimum of hours Ty must walk. 

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.

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