Question adamrs
Adam’s school is a 20-minute walk or a 5-minute bus ride away from his house. The bus runs once every 30 minutes, and the number of minutes, w, that Adam waits for the bus varies between 0 and 30. Which of the following inequalities gives the values of w for which it would be faster for Adam to walk to school?
Adam’s school is a 20-minute walk or a 5-minute bus ride away from his house. The
Hard-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 D is correct. It is given that w is the number of minutes that Adam waits for the bus. The total time it takes Adam to get to school on a day he takes the bus is the sum of the minutes, w, he waits for the bus and the 5 minutes the bus ride takes; thus, this time, in minutes, is w + 5. It is also given that the total amount of time it takes Adam to get to school on a day that he walks is 20 minutes. Therefore, w + 5 > 20 gives the values of w for which it would be faster for Adam to walk to school.
Choices A and B are incorrect because w – 5 is not the total length of time for Adam to wait for and then take the bus to school. Choice C is incorrect because the inequality should be true when walking 20 minutes is faster than the time it takes Adam to wait for and ride the bus, not less.
More Linear Inequalities in One or Two Variables practice questions
- y ≤ x + 7 y ≥ - 2 x - 1 Which point
- The Karvonen formula above shows the relationship between Alice’s target heart rate
- The boundary of the inequality is a solid line. The line slants sharply up
- Which of the following ordered pairs ( x , y ) satisfies the system
- y > 13 x - 18 For which of the following tables are all
- A model estimates that whales from the genus Eschrichtius travel 72 to 77 miles
- The minimum value of x is 12 less than 6 times another number n
- A geologist needs to collect at least 67 samples of lava from a volcano.
Browse all Heart of Algebra practice questions or return to the full SAT question bank.