Question ty-set

5.1 Linear Inequalities in One or Two Variables - Solving single-variable inequalities
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Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?

A.

4

B.

6

C.

20

D.

24

Ty set a goal to walk at least 24 kilometers every day to prepare for a

Medium-difficulty · SAT Math · Linear Inequalities in One or Two Variables — Solving single-variable inequalities. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. It's given that Ty plans to walk at an average speed of 4 kilometers per hour. The number of kilometers Ty will walk is determined by the expression 4 s , where s is the number of hours Ty walks. The given goal of at least 24 kilometers means that the inequality 4se24 represents the situation. Dividing both sides of this inequality by 4 gives se6 , which corresponds to a minimum of 6 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.