PRACTICE PROBLEMS ON LINE GRAPH

Problem 1 :

The graph alongside indicates the distance a homing pigeon travelled from its point of release until it reaches its home.

Use the graph to determine:

a. The total length of the flight

b. The time taken for the pigeon to reach home

c. The time taken to fly the first 200 km

d. The time taken to fly the from the 240 km mark to the 400 km mark

e. The average speed for the first 4 hours

f. The average speed for the whole flight

Solution

Problem 2 :

The graph alongside indicates the distance a cyclist must travel to work. Use the graph to determine:

a. The distance to work

b. The time taken to get to work

c. The distance travelled after

i) 10 minutes    ii) 17 minutes

d. The time taken to travel

i. 6 km

ii.10 km

e. The average speed for the whole distance.

Solution

Problem 3 :

Two rally cars were involved in a handicap time trial. The distance time graph indicates how far each has travelled.

Use the graph to determine:

a. The handicap advantage given to car Y

b. The distance travelled by each car

c. How far both cars had travelled when car X caught car Y

d. How long it took each car to travel 300 km

e. How much faster X completed the time trial than Y

f. The average speed of each car.

Solution

Problem 4 :

Below is a line graph that shows how many books are sold in a charity shop over one week.

(a) On which day did the charity shop sell the most books?

(b) On which day did the charity shop sell the least books?

(c) How many books were sold on Tuesday?

Solution

Problem 2 :

Below is a line graph that shows the population of a village.

(a) What was the population in 1980?

(b) In which year was the population 700?

Solution

Problem 3 :

Analyze the line graph, complete the data table and answer the questions.

1) Complete the data table

2) In which month was the average temperature 30 degrees Celsius?

3) In which 2 months was the average temperature the same?

4) In which months was the average temperature higher than 20 degrees?

5) How much did the average temperature increase between January and April?

Solution