SAT Math Multiple Choice Question 403: Answer and Explanation
The graph above shows a delivery truck's distance from the company's warehouse over a two-hour period, during which time the delivery people made two deliveries and then returned to the warehouse. Based on the graph, which of the following statements could be true?
- A. Each delivery took 30 minutes to complete, not including driving time.
- B. The location of the second delivery was about 70 miles from the warehouse.
- C. The truck traveled about 18 miles from the time it left the warehouse until it returned.
- D. The second delivery was about 18 miles farther from the warehouse than the first delivery.
Correct Answer: A
Category: Passport to Advanced Math / Functions
Strategic Advice: Pay careful attention to the axis labels as you read the answer choices. Time is graphed on the x-axis, and distance is graphed on the y-axis.
Getting to the Answer: Compare each answer choice to the graph, eliminating false statements as you go.
Choice (A): The truck is stopped when it is making a delivery. This means its distance is not changing, and the graph should be flat. Both flat sections of the graph span 30 minutes (20 to 50 and 70 to 100), so each delivery took 30 minutes. Choice (A) is correct. If you're confident in your answer, move on to the next question. If not, you can quickly check the other answer choices to be sure.
Choice B: The second delivery starts at (70, 18), which means it was about 18 miles away from the warehouse, not 70.
Choice C: When the truck arrived at the first delivery, it was about 8 miles from the warehouse, and when it was at the second delivery, it was about 18 miles from the warehouse. Then, it had to travel 18 miles back to the warehouse, so it traveled a total of 36 miles, not 18.
Choice D: The second delivery took place 18 miles from the warehouse, and the first delivery took place 8 miles from the warehouse, which means the second delivery was about 10 miles farther from the warehouse, not 18.