Linear Graph

Q.

A ________ graph displays data that changes continuously over periods of time.

Q.

A graph that displays data that changes continuously over periods of time is

1. Bar Graph

2. Pie Chart

3. Histogram

4. Line Graph

Q. The given table shows the progress of a car in a ride. Draw a graph for the given data and find how much distance covered by the car during the period 7.30 AM to 8. 30 AM.

Time in hours	6 AM	7 AM	8 AM	9 AM
Distance in km	40	60	80	120

1. 20 km
2. 25 km
3. 30 km
4. 40 km

Q. Given below table shows the quantity and price of oranges, Draw a graph for the given data and find the cost of 28 kg of oranges.

Quantity in kg	10	20	30	40
Price in ₹	150	300	450	600

1. ₹ 410
2. ₹ 430
3. ₹ 420
4. ₹ 440

Q. The given table shows the progress of a car in a ride. Draw a graph for the given data and find what was the time when the car had covered a distance of 140 km since it's start?

Time in hours	6 AM	7 AM	8 AM	9 AM
Distance in km	40	60	80	120

1. 9.00 AM
2. 8.30 AM
3. 8.00 AM
4. 7.30 AM

Q.

A bank gives 10% interest on the deposited by the ladies. Draw a graph showing the relation between the amount deposited and the simple interest earned by the ladies. Find the annual interest earned for an investment of ₹250.

$\begin{array}{ccccc}\text{Sum Deposited(in ₹)}100& 200& 300& 500& 1000\\ \text{Simple interest(in ₹)}10& 20& 30& 50& 100\end{array}$

1. ₹25
2. ₹35
3. ₹50
4. ₹75

Q.

Draw the line passing through $(4,2)$ and $(2,4)$ and find the coordinate of the point at which the line meets the $x-$axis.

1. $(6,0)$
2. $(5,0)$
3. $(7,0)$
4. $(5.5,0)$

Q. The given graph shows the progress of a cyclist during a ride.

Which of the following describes the rider’s progress over the period of time.

1. As time passes the speed of cyclist decreases steadily.
2. The speed of cyclist decreases for a short time period and then increases very slowly.
3. As time passes the speed of cyclist increases.
4. The cyclist moves with uniform speed.

Q. Question 7(i)
Can there be a time-temperature graph as follows? Justify your answer.

Q.

Draw an irregular figure on graph paper and estimate its area.

Q.

Can there be a time temperature graph as follows? Justify you’re answer:

(i)	(ii)
(iii)	(iv)

Q. Question 7(i)
Can there be a time-temperature graph as follows? Justify your answer.

Q.

The sum distances from $x$-axis and $y$-axis measured from the point $\left(3,5\right)$ will be-

1. $-1$

2. 0

3. 2

4. 8

Q.

Write true or false for the given statement:

A line graph can also be a whole unbroken line. State whether the statement is true (T) or false (F).

1. True
2. False

Q. Question 7(iv)
Can there be a time-temperature graph as follows? Justify your answer.

Q. From the graph, what is the value of the dependent variable when the value of independent variable is 500?

1. 100
2. 1500
3. 2500
4. 1000

Q. Question 7(iii)
Can there be a time-temperature graph as follows? Justify your answer.

Q. Question 7(ii)
Can there be a time-temperature graph as follows? Justify your answer.

Q. Fill in the Blanks
Question 12
The relation between dependent and independent variable is shown through a ______.

Q. Question 7(iv)
Can there be a time-temperature graph as follows? Justify your answer.

Q.

Following graph shows the perimeter of square of different sides:

1. 4.5 cm

2. 5 cm

3. 4 cm

4. 5.5 cm

Q. Question 7(iii)
Can there be a time-temperature graph as follows? Justify your answer.

Q.

To get the interest of Rs 150, how much amount needs to be invested?

1. Rs 2000

2. Rs 4000

3. Rs 2500

4. Rs 4500

Q. All line graphs are also linear graphs.

1. False
2. True

Q.

The graph between simple interest and time is linear.

1. True

2. False

Q.

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.

Q. Draw the line passing through (4, 2) and (2, 4) and find the coordinate of the point at which the line meets the y-axis.

1. (0, 7)
2. (0, 6)
3. (0, 6.5)
4. (0, 8)

Q. The graph of simple interest versus time is linear.

1. False
2. True

Q. The graph represents 4 states of speed of a person travelling to his home:
A. The speed becomes zero for few hours after he reached the destination.
B. The speed is increasing at a normal rate in the traffic.
C. Highest speed is predicted during when he is travelling alone.
D. Speed is decreasing when he is about to reach home.

Arrange the above statements in the correct order according to the graph given below.

1. BCAD
2. BCDA
3. CBDA
4. ABCD

Q.

A boat is moving in a river, downstream, whose stream has speed 8 km per hour. The speed of the motor of the boat is 22 km per hour. Draw the graph of the distance covered by the boat versus hour