Distance-time graph: (0, 0) (2, 100) (3, 100) (5, 160), find the…

Step by step, with the reason for every step · Distance-time graphs · Algebra 1

Step by step

Question: the distance-time graph joins (0, 0) (2, 100) (3, 100) (5, 160), find the speed of each part.

distance-time graph: (0, 0) (2, 100) (3, 100) (5, 160)

Across: the time in hours.

Up: how far from the start, in km.

Going up: moving away from the start.

Flat: stopped.

Going down: coming back.

Speed is the distance divided by the time.

On the graph that is the slope: up over across.

speed = distancetime = slope

Part A: 100 km in 2 h.

100 divided by 2 is 50 km/h.

A: speed = 1002 = 50 km/h

Part B is flat.

The distance does not change: 0 km in 1 h.

The speed is 0: stopped.

B: speed = 01 = 0 km/h

Careful!

The flat part is high on the graph, but height is distance, not speed.

Flat means stopped.

Careful: not speed = 100 km/h ✗

Part C: 60 km in 2 h.

60 divided by 2 is 30 km/h.

C: speed = 602 = 30 km/h

Let's check: speed times time gives back each distance: 100 and 60.

So it is right!

50 × 2 = 100, 30 × 2 = 60

Let's look back.

First: read the graph.

Then: speed of each part.

Last: check.

Answer

C: speed = 602 = 30 km/h

Try this one yourself, then check:

distance-time graph: (0, 0) (2, 50) (3, 50) (5, 80)

Show the answer

A: 25 km/h, B: 0 km/h, C: 15 km/h