Question

1. amari had four toy cars. she made a ramp that was 12 centimeters high, then she rolled them down the ramp to see how far they went. she predicted that the heaviest car would roll the shortest distance. the following table shows her data.

car	mass of car (g)	distance rolled (cm)
2	20	78
3	10	38
4	15	63

what can amari infer based on this evidence?

a. car 2 will always roll farthest.
b. car 3 has a broken wheel.
c. the heavier mass of a car causes it to roll farther.
d. it is not possible to predict which car will roll farthest.

Explanation:

Step1: Analyze the data

We observe the mass - distance relationship in the table. As mass increases from Car 1 (5g) to Car 2 (20g), distance rolled increases from 22cm to 78cm. As mass of Car 3 is 10g (less than Car 2) and it rolls 38cm, and Car 4 with mass 15g rolls 63cm. Overall, there is a trend of greater mass corresponding to greater distance.

Step2: Evaluate each option

• Option A: Just from this single - trial data, we can't say Car 2 will always roll farthest. There could be other factors in different trials.
• Option B: There is no evidence in the data to suggest Car 3 has a broken wheel.
• Option C: The data shows that as the mass of the car increases, the distance it rolls generally increases, so the heavier mass of a car causes it to roll farther.
• Option D: Based on this data, there is a relationship between mass and distance, so it is not correct to say it's not possible to predict.

Answer:

C. The heavier mass of a car causes it to roll farther.