Draw a depth/time graph to represent water fi lling the container shown at a steady rate.
Solution Time Practice questions 14.3
1. Explain each of the following terms in your own words. (i)
rate of change
(ii) linear pattern (iii) directly proportional (iv) slope of a line
2. A cruise ship is travelling at a constant speed of 30 km/hr. The graph shown represents the fi rst four hours of its journey.
Use the graph to answer the questions below.
y
140 120 100 80 60 40 20
0 1 2 3 Time (hr)
(a) How far will the ship travel in ...? (i) 2 hours (ii) 3 and a half hours
(b) How long would it take the ship to travel …?
(i) 90 km (ii) 45 km
4 x (iii) y
60 50 40 30 20 10
0 1 2 3 4 5 6 x Time (s)
4. The graph on the right shows the distance travelled by objects A, B, C over a period of time. Rank the objects in order from fastest to slowest. Justify your answer.
y 3.
Calculate the speed for each of the following graphs. (i)
(ii) y
40 30 20 10
0 1 2 3 4 5 6 x Time (hr) (iv) y
60 50 40 30 20 10
0 1 2 3 4 5 6 x Time (s) C A B x Time (s)
5. The graph shown represents a certain car journey. Study the graph and answer the questions.
(i) Which part of the graph shows that the car is stopped at traffi c lights? Given a reason for your answer.
y C B
(ii) Which part of the graph represents the fastest speed? Explain your choice.