Question

rolling down a ramp
changing height
a student set up an investigation to see how far a toy car would roll when let go of at different heights on a ramp. they made the line graph below.
how far will the car roll?
which would be the best prediction for how far the car would roll if dropped at 20 cm?
21 cm
16 cm
33 cm

Explanation:

Step1: Identify graph data points

Data points: (5 cm height, 15 cm distance), (10 cm height, 20 cm distance), (15 cm height, 25 cm distance)

Step2: Calculate height-distance trend

Each 5 cm height increase adds $\Delta d = 20-15=5$ cm, $25-20=5$ cm to distance.

Step3: Predict 20 cm height distance

For 20 cm height (5 cm above 15 cm): $25 + 5 = 30$ cm, closest to 33 cm among options.

Answer:

33 cm