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

**Question 1: **Draw the graphs for the following tables of values, with suitable scales on the axes.

**(a) Cost of apples**

Number of apples | 1 | 2 | 3 | 4 | 5 |

Cost (in ₹) | 5 | 10 | 15 | 20 | 25 |

**(b) Distance travelled by car**

Time (in hours) | 6 a.m. | 7 a.m. | 8 a.m. | 9 a.m. |

Distances (in km) | 40 | 80 | 120 | 160 |

**(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?**

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

Deposit (in ₹) | 1000 | 2000 | 3000 | 4000 | 5000 |

Simple Interest (in ₹) | 80 | 160 | 240 | 320 | 400 |

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

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

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

**Solution:**

**(a)** Represent the “Number of apples” as X-axis and “Cost in Rs” as Y-axis

**(b) **Represent the “Times (in hrs)” as X-axis and “Distance (in km)” as Y-axis

(i)The car covered 20 km distance during the period 7.30 a.m. to 8 a.m.

(ii)It was 7.30 am, when the car covered a distance of 100 km since it’s start.

**(c)** Represent the “Simple Interest (in Rs)” on x-axis and “Deposit (in Rs)” on y-axis.

(i)Yes, the graph passes through origin.

(ii)The interest on Rs. 2500 is Rs. 200 for a year.

(iii)Rs. 3500 should be deposited for interest of Rs. 280 per year.

**Question 2: **Draw a graph for the following

**(i)**

Side of the square(in cm) | 2 | 3 | 3.5 | 5 | 6 |

Perimeter(in cm) | 8 | 12 | 14 | 20 | 24 |

**Is it linear graph?**

**(ii)**

Side of the square(in cm) | 2 | 3 | 4 | 5 | 6 |

Area(in cm^{2}) | 4 | 9 | 16 | 25 | 36 |

**Is it linear graph?**

**Solution:**

**(i) **Represent the “Side of square(in cm)” on x-axis and “Perimeter(in cm)” on y-axis.

Yes, the graph is a linear graph.

**(ii) **Represent the “Side of square(in cm)” on x-axis and “Area(in cm^{2})” on y-axis.

No, the graph is not a linear graph because the graph does not provide a straight line.

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