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Introduction To Graphs

Question

Wired Faculty App

Draw the graphs for the following tables of values, with suitable scales on the axes,
Distance travelled by a car

(i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m.?
(ii) What was the time when the car had covered a distance of 100 km since it’s start?

Solution

Steps:
I. Draw the axis.
II. Choose suitable scale along x-axis and along y-axis.
III.Mark time (in hours) along x-axis and distance (in km) along y-axis
IV.Plot the points (6, 40) (7, 80), (8, 120) and (9, 160).
V. By joining the points we get the required graph.

(i) In the graph, draw a perpendicular at the point indicating 7:30 a.m. on the x-axis such that it meets the graph at A. From A draw a line parallel to x-axis to meet y-axis at 100 km.
∴ Distance travelled between 7:30 a.m. and 8:00 a.m.
= 120 km – 100 km
= 20 km
(ii) 7:30 a.m.

Some More Questions From Introduction to Graphs Chapter

The following graph shows the temperature of a patient in a hospital, recorded every hour.
(a) What was the patient’s temperature at 1 p.m.?
(b) When was the patient’s temperature 38.5° C?
(c) The patient’s temperature was the same two times during the period given. What were these two times?
(d) What was the temperature at 1.30 p.m.? How did you arrive at your answer?
(e) During which periods did the patients’ temperature showed an upward trend?

The following line graph shows the yearly sales figures for a manufacturing company.
(a) What were the sales in (i) 2002 and (ii) 2006?
(b) What were the sales in (i) 2003 and (ii) 2005?
(c) Compute the difference between the sales in 2002 and 2006.
(d) In which year was there the greatest difference between the sales as compared to its previous year?

For an experiment in Botany, two different plants, plant A and B were grown under similar laboratory conditions. Their height were measured at the end of each week for 3 weeks. The results are shown by the following graph.

(a) How high was plant A after (i) 2 weeks and (ii) 3 weeks?
(b) How high was plant B after (i) 2 weeks and (ii) 3 weeks?
(c) How much did plant A grow during the 3rd week?
(d) How much did plant B grow from the end of the 2nd week to the end of the 3rd week?
(e) During which week did plant A grow most?
(f) During which week did plant B grow least?
(g) Were the two plants of the same height during any week shown here? Specify.

The following graph shows the temperature forecast and the actual temperature for each day of a week.
(a) On which days was the forecast temperature the same as the actual temperature?
(b) What was the maximum forecast temperature during the week?
(c) What was the minimum actual temperature during the week?
(d) On which day did the actual temperature differ the most from the forecast temperature?

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?

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