NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 – Introduction to Graphs, has been designed by the NCERT to test the knowledge of the student on the topic – Some Applications of Introduction to Graphs

### NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 – Introduction to Graphs

**NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 – Introduction to Graphs**

**Draw the graphs for the following tables of values, with suitable scales on the axes.**

**a) Cost of apples**

__Sol.:__ – By taking, ‘Number of Apple’ on X-Axis and ‘Cost (in ₹)’ on Y-Axis.

1 unit of x-axis = 1 Apple

1 unit of y-axis = Rs 5

**b) Distance travelled by a car**

__Sol.:__ – By taking, Time (in Hours) on x-axis and Distances (in km) on y-axis.

1 unit of x-axis = 0.5 Hours

1 unit of y-axis = 40 km

**i) How much distance did the car cover during the period 7.30 a.m. to 8 a.m?**

__Sol.:__ – Distance cover during the period 7.30 a.m. to 8 a.m

= Distance at 8 a.m. – Distance at 7.30 a.m.

= 120 km – 100 km

= 20 km

**ii) What was the time when the car had covered a distance of 100 km since it’s start?**

__Sol.:__ – At 7.30 a.m. the car had covered a distance of 100 km since it’s start.

**c) Interest on deposits for a year.**

__Sol.:__ – By taking, Deposit (in Rs) on x-axis and Simple interest (in Rs) on y-axis.

2 unit of x-axis = Rs 1000

1 unit of y-axis = Rs 50

**i) Does the graph pass through the origin? **

__Sol.:__– Yes, the graph passes through the origin.

**ii) Use the graph to find the interest on Rs 2500 for a year. **

__Sol.:__– The interest on Rs 2500 for a year will be Rs 200.

**iii) To get an interest of Rs 280 per year, how much money should be deposited? **

__Sol.:__– To get an interest of Rs 280 per year, we should deposit a sum of Rs 3500.

**2. Draw a graph for the following.**

**i) **

**Is it a linear graph?**

__Sol.:__ – By taking, Side of square (in cm) on x-axis and Perimeter (in cm^{2}) on y-axis.

1 unit of x-axis = 1 cm

1 unit of y-axis = 5 cm^{2}

It is a linear graph.

**ii) **

**Is it a linear graph?**

__Sol.:__ – By taking, Side of square (in cm) on x-axis and Area (in cm^{2}) on y-axis.

1 unit of x-axis = 1 cm

1 unit of y-axis = 5 cm^{2}

It is not a non-linear graph.

**The next Exercise for** **NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.1 – Playing with Numbers can be accessed by clicking here**

**Download NCERT Solutions for Class 8 Maths Chapter 15 Exercise 15.3 – Introduction to Graphs**