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
![Question 1 a)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEir3X6XKt4eFhOJG3OgG5wCtcugkG4aIqyZutl1KN_nxE03jBM7wHhqTpJd8v98VBu_fBdVNyJguZPJA6_Mw646xs1bAPcB-5cUif3O0-0w-8PmDqrdpQO0cDuUJKDh59dcsLwhMb2fnrEHSdbXTGVmW-0nK59DroG2AyaYVhs4pZB5lVpN7hDcr7J1kw/s16000-rw/1.png)
b) Distance travelled by car
![Question 1 b)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHU8y2JI8ylS2AFh3mGxgrAl-efY3J4vuxlf4GgBiWjXA8pb-AqxObHeLD60k6MnYu18cePqQX90-FpJWsIVIvJCi7lo9kU3AAbKOY5r50rOL4jPAYcVKPv-5NEFlipqXNGYfa5gWRJ3Qp2qRzXdaBFYJoF07zeVX3Ue9k9nOH0gp1tlvXSNlUgSMg3w/s16000-rw/2.png)
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.
![Question 1 c)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibniUnFHgJhkBdxQtBuINwukC0ecWe-hw_DfSZPROSUcQmPXG6VDtq5ibegWfhP9uroX2WwCZipDKKiC7J2ytgExni46GMiReA86ow5u_MuzuvgtBprQ8dAq5-PvDbT1RrzZEg__kvQ11lf0IvBfQSSvXFpJi80y44kYUDiOcLEBN8TMF0AyfOLREELA/s16000-rw/3.png)
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?
Answer:
a)
![Question 1 a) Answer](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjHR9ml8TnD6SFUOo0jA7G4Giet2Xj0xMaWWWW06sNoloAQ573v7Rzcv5gwc0AIv7M3qCY_dEcJKIGQHeaV9I_i-ioP9HT5awtxQ8fMlPQr8CcDr6BwKuA26peSwhQYtjwa5inGV7nAsmXEf84UjoyWhtnA9hTDrSUSiHM_ywZUn17Md6gIPCT3VRhfbQ/s16000-rw/6.png)
b)
![Question 1 b) Answer](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRsGw1qDkLaB-pXi5iu_H_tY3Ss_zecaL6PXKyEhFC2fue4x6aosmeDHklPYbTkwQ6ICO9KZKWLDXinGqAOIv86UCmylvZU4IHKLiiy2-dTLQ8Ua3_NVhWK8r73ZyO6K-y4YDWVF_6_yhDAJPpdhKEgW6mVtYqhrrCG1rWl-igZSHLWdpPPysH3P1Evg/s16000-rw/7.png)
i) The car covered 20 km during the period 7.30 a.m. to 8 a.m.
ii) The time when the car had covered a distance of 100 km since its start was 7:30 a.m.
c)
![Question 1 c) Answer](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZLkSe1hv8Dx6XRkbOTpr2TMkz7Tfy1EwH9dEZFZJoXK9io0seLF1IbaMs_oT07a6h2SyXavVsrres4GYXx0nv5DOxZYyK37KIXnGGH17Y-QBF8CS35_4Pv47S5XLaNBzdnCBdK_yKKR_gMsBcH22OR2hjhAvGJrg8QLE-mRZsB_IPmxQBo6z3TwuY7A/s16000-rw/8.png)
i) Yes, the graph passes through the origin (0, 0).
ii) The interest received for deposit of ₹2500 a year is ₹200.
iii) To get an interest of ₹280 per year, ₹3500 should be deposited.
Question 2: Draw a graph for the following.
i)
![Question 2 a)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiklJk19Nqsz2QRzXXs3ZgW3e7PJbaZCnOB0QvVYMKJZ95rqAh-P7SssU4WgfCoj6PyyaIWlEbh5OuE35Lajzh1ntfFvNYvAIepz-XAMrz9unEfSJYytEZq3s3BjZ58iPbQKHjaUmWr4piAUZVjTO4HIFPZRgjmTll_vBIuDHb_nRfHjbc7P12MInepgg/s16000-rw/4.png)
Is it a linear graph?
ii)
![Question 2 b)](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEisT9R7j5uHTy-q3y368Foqn_41FRkBvraeb5wFnrAIjhy2zWSJadzOVX6tT1c3Wc5_axmJWDnmL1Dg-NuTBZ5ESCxz_AZBPPgKOD7HmjlbVUKnyGXKTbOfj7XN5ZHhwdcnPg8r3LmXPUN71zYRnbyCkAbNUxsq-wrjQf9dvOxm4o1rgOTU0BNmmTjuug/s16000-rw/5.png)
Is it a linear graph?
Answer:
i)
![Question 2 a) Answer](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgYGOClzQ47U8KGGwT-0dZt_YYzPE4vJWYqNaj4Rf-dafkAw8pKC2btE2NdPsF_C6w8EMCA17crI7_4g__w1sHY8JZMHPZIwa5mRVe233UFpmtHSJOz_Z-8S1DPtw9KWk--gPnMd8WWvLITjFSLkwFpAYkDpj82iNr9smfgETheh8osqgpktBIrpxS_xQ/s16000-rw/9.png)
Yes, it is a linear graph.
ii)
![Question 2 b) Answer](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjY9Z1OCnSrwHzJ8cFtV8LpD3qyUmcc0TESqd-slpsMr1Qm0zoGxMAewfS-A5UXSNaI5mH4rAwCzrUGe1uqYLJgXc0KtUiZ1K1fK5_u1BHkb9XwYr_tpM1sTxXhpawPeb8xXMf6kcKN8iw3TDlsZwPbj35D4AHjI-AJNVOtWZHythmP4KfqUbotAZJQnQ/s16000-rw/10.png)
No, it is not a linear graph because it is not a straight unbroken line.
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