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Introduction To Graphs

Question

Wired Faculty App

Draw the graph for the following table of values of time (in hours) and distances (in km) covered by a car. From the graph, find:
(i) The distance covered by the car during the period 7:00 to 8 :00.
(ii) At what time the car would have covered 180 km?

Solution

By plotting the points (7:00, 60), (8:00, 120), (9:00, 180) and (10:00, 240), we get a straight line.

(i) Distance covered during 7:00 and 8:00 = (180 – 120) km = 60 km.
(ii) From the graph the car would have covered 180 km at 9:00.

Some More Questions From Introduction to Graphs Chapter

Use the tables below to draw linear graphs.
The number of days a hill side city received snow in different years.

Population (in thousands) of men and women in a village in different years.

Can there be a time-temperature graph as follows? Justify your answer.

Ratana fell sick. Her doctor maintained a record of her hody temperature, taken every four hours. It is shown in the following time-temperature graph.
(a) During which period the temperature showed a rising trend?
(b) During which period the temperature showed a downward trend?
(c) At what time the temperature was highest?
(d) At what time the temperature was lowest?

Plot the following points on a graph sheet. Verify if they lie on a line:
(a) A (4, 0), B(4, 2), C(4, 6), D(4, 2.5)
(b) P(1, 1), Q(2, 2), R(3, 3), S(4, 4)
(c) K(2, 3), L(5, 3), M(5, 5), N(2, 5)

Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.

Write the coordinates of the vertices of each of these adjoining Figures.

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