Question

how long can it swing?

	height dropped from (centimeters)	time swung (seconds)
test 1	10 cm	25 sec
test 2	20 cm	49 sec
test 3	30 cm	?

options: 72 sec, 26 sec, 12 sec, 37 sec

Explanation:

Step1: Analyze the pattern between height and time

From Test 1 (10 cm, 25 sec) to Test 2 (20 cm, 49 sec), the height increases by 10 cm (20 - 10 = 10) and the time increases by 49 - 25 = 24 sec.

Step2: Predict the time for Test 3

For Test 3, height is 30 cm, which is another 10 cm increase from Test 2. So we add approximately 24 sec to Test 2's time: 49 + 24 = 73. The closest option is 72 sec.

Answer:

72 sec