Introduction To Graphs

Question

Following graph describes the distance of a car from a city-P to city-Q, which are 350 km apart. Study the graph and answer the following questions.

(a) What information is given on the two axes?
(b) From where and when did the car begin its journey?
(c) How far did the car go in the first hour?
(d) How far did the car go during (i) the 2^nd hour? (ii) the 3^rd hour?
(e) Was the speed same during the first three hours? How do you know it?
(f) Did the car stop for some duration at any place? Justify your answer.
(g) When did the car reach City Q?

Solution

(a) x-axis $rightwards arrow$ time; y-axis $rightwards arrow$ Distance from p
(b) At 8: a.m. from city-p
(c) 50 km
(d) (i) 100 km (from 50 km, 5 to 150 km)
(ii) 50 km(150 km to 200 km)
(e) It was same during 1st, 2nd hour and 3rd year.
(f) Yes, no distance covered during 11 a.m. to 12 noon.
(g) At 2 p.m.

Some More Questions From Introduction to Graphs Chapter

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.

State whether True or False. Correct that are false.

The number of litres of petrol you buy to fill a car’s petrol tank will decide the amount you have to pay. Which is the independent variable here? Think about it.

The following table gives the quantity of petrol and its cost.

Plot a graph to show the data.
Use the graph to find how much petrol can be purchased for Rs 800.

Draw the graphs for the following tables of values, with suitable scales on the axes,
Cost of apples

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?

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Introduction To Graphs

Some More Questions From Introduction to Graphs Chapter

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.

State whether True or False. Correct that are false.

The number of litres of petrol you buy to fill a car’s petrol tank will decide the amount you have to pay. Which is the independent variable here? Think about it.

The following table gives the quantity of petrol and its cost.

Plot a graph to show the data.
Use the graph to find how much petrol can be purchased for Rs 800.

Draw the graphs for the following tables of values, with suitable scales on the axes,
Cost of apples

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?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Introduction To Graphs

Some More Questions From Introduction to Graphs Chapter

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.

State whether True or False. Correct that are false.

The number of litres of petrol you buy to fill a car’s petrol tank will decide the amount you have to pay. Which is the independent variable here? Think about it.

The following table gives the quantity of petrol and its cost. Plot a graph to show the data.Use the graph to find how much petrol can be purchased for Rs 800.

Draw the graphs for the following tables of values, with suitable scales on the axes, Cost of apples

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?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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)

The following table gives the quantity of petrol and its cost.

Plot a graph to show the data.
Use the graph to find how much petrol can be purchased for Rs 800.

Draw the graphs for the following tables of values, with suitable scales on the axes,
Cost of apples

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?