Page 330 - Math_Genius_V1.0_C8_Flipbook

E:\Working\Focus_Learning\Math_Genius-8\Open_Files\19_Chapter_14\Chapter_14
\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

Solution: (a) Scale taken for time axis is, 1 division as unit = 1 hour

(b) Travelling starts at 8 a.m. and ends at mid time between 11 a.m. and 12 noon, i.e.,
11.30 a.m.
1
\ Time spent on travelling = 3 hours.
2
(c) On the y-axis, graph starts at 0 km and goes till 22 km.

\ The distance of place of merchant from the town = 22 km.
(d) From 10 a.m. to 10.30 a.m., the graph is parallel to x-axis i.e., no distance is covered.
Hence, the person stops on his way from 10 a.m. to 10.30 a.m.
(e) Q Distance covered in 1st hour (8 a.m. to 9 a.m.) = 10 km

Distance covered in 2nd hour (9 a.m. to 10 a.m.) = (16 – 10) km = 6 km
Distance covered between 10:30 a.m. to 11 a.m. = (19 – 16) km = 3 km
1
Distance covered in next hour = (22 – 19) km = 3 km
2
\ He rode fastest during 8 a.m. to 9 a.m.
Practice Time 14B

1. Draw the graph for the following table of values, with suitable scales on the axes.

Number of pens bought 1 2 3 4 5
Cost (in `) 4 8 12 16 20
Using the graph, find
(a) the cost of 6 pens (b) how many pens will cost `32.

2. Draw the graph between deposit and interest earned. Does the graph pass through the origin?
Deposit (in `) 1000 2000 3000 4000 5000

Simple Interest (in `) 80 160 240 320 400
From the graph drawn, find:
(a) the interest on `2500 for a year.
(b) the money that should be deposited to get an interest of `280 per year.
(c) the money that should be deposited to get an interest of `560 per year.

3. Perimeters (P) of squares with sides (s) are given below. Draw the graph for this data by taking
suitable scale on the axes.

P (in cm) 16 20 24 28
s (in cm) 4 5 6 7
4. A taxi driver drove a taxi for 6 hours. Plot a speed-distance graph for the following data and
answer the given questions using the graph.

Speed (in km/h) 20 25 30 40 50
Distance (in km) 120 150 180 240 300
(a) Find the distance covered if he is driving at a speed of 45 km/h.
(b) Find the speed of the taxi if he travels a distance of 450 km.

Mathematics-8 328