Question

a. terrence started at 2 feet and skated quickly away from the motion detector.
b. terrence started at 2 feet and skated slowly away from the motion detector.
c. terrence started at 5 feet and skated quickly away from the motion detector.
d. terrence started at 2 feet and paused to catch his breath.
e. terrence started at 5 feet and skated slowly away from the motion detector.
(there is a graph with distance from motion detector on the x - axis and elapsed time on the y - axis, and several line segments labeled a, b, c, d, e. also, there are some text - box descriptions on the left side related to terrences starting position and motion, connected with lines to the dashed boxes below.)

Explanation:

Step1: Match start distance & speed

For each scenario, check initial distance (y-intercept) and slope (speed: steeper = faster, flat = paused).

Step2: Pair a: 2ft, quick away

Line a: steep slope, low start → matches "Terrence started at 2 feet and skated quickly away from the motion detector."

Step3: Pair b: 2ft, slow away

Line b: gentle slope, low start → matches "Terrence started at 2 feet and skated slowly away from the motion detector."

Step4: Pair c: 5ft, quick away

Line c: steep slope, high start → matches "Terrence started at 5 feet and skated quickly away from the motion detector."

Step5: Pair d: 2ft, paused

Line d: flat slope, low start → matches "Terrence started at 2 feet and paused to catch his breath motion detector."

Step6: Pair e: 5ft, slow away

Line e: gentle slope, high start → matches "Terrence started at 5 feet and skated slowly away from the motion detector."

Answer:

a. Terrence started at 2 feet and skated quickly away from the motion detector.
b. Terrence started at 2 feet and skated slowly away from the motion detector.
c. Terrence started at 5 feet and skated quickly away from the motion detector.
d. Terrence started at 2 feet and paused to catch his breath motion detector.
e. Terrence started at 5 feet and skated slowly away from the motion detector.