Question

18. the distance that a object covered in time was measured and recorded in the table below.

True/False: The distance covered is directly proportional to the time.
a. True
b. False

Answer 1

Answer: False

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Step-by-step explanation:

x = time in seconds

y = distance in meters

Pick any two rows to compute the ratio y/x

• Row 1: y/x = 4.0/1 = 4
• Row 2: y/x = 5.5/2 = 2.75

We get different results, so this is enough to show y isn't directly proportional to x.

Answer 2

b. False

Step-by-step explanation:

The table above shows that time is not directly proportional to the distance covered by the object. "Directly proportional" means that two variables (time and distance) increase or decrease at the "same rate."

After 2 seconds, the distance covered by the object increased to 1.5 meters; however, after 3 seconds, it only increased to 0.5 meters. It is therefore not directly proportional. In order for it to be directly proportional, the distance covered should always be at 4 meters every second, which means that the distance covered after 2 seconds should be 8 meters and after 3 seconds, it should be 12 meters.