SAT Math · Linear inequalities in one or two variables · medium
A parking lot must hold no fewer than 50 cars and no more than 120 cars at any time. What is the width of the range of possible numbers of…
A parking lot must hold no fewer than 50 cars and no more than 120 cars at any time. What is the width of the range of possible numbers of cars in the lot?
Answer and explanation
Answer: A: 70
The condition "no fewer than 50 and no more than 120" is the compound inequality . The width of a range is the difference between the maximum and the minimum: , choice A. Choice B (120) is the maximum number of cars. Choice C (50) is the minimum number of cars. Choice D (170) comes from adding the two limits, . Width asks how far apart the endpoints are, which is a subtraction. For example, if the lot holds 60 cars, that is 10 above the minimum, and the range covers 70 possible additional cars from bottom to top.
More Linear inequalities in one or two variables questions
- Question 6 · easyWhich of the following is equivalent to -3x + 7 ≤ 22?
- Question 8 · hardFor x ≥ 0 and y ≥ 0 satisfying x + 3y ≤ 15 and 2x + y ≤ 10, what is the greatest possible value of…
- Question 29 · mediumWhat is the solution set of the system x > -3, x ≤ 5, and 2x - 1 < 9?
- Question 30 · easyWhich statement is true about the graph of y ≤ 3x - 2?
- Question 31 · easyA parking garage charges a 5 base fee plus 2.50 for each hour parked. A customer wants to pay no…
- Question 60 · mediumThe boundary lines of y ≥ 2x - 4 and y ≤ -x + k intersect at the point where x = 2. What is the…
Learn the method behind questions like this one
The SAT Math course teaches each tested skill through lessons, step-by-step solutions to sample problems, the complete study guide and full-length practice tests.