Rohan, a student of class IX book a ola cab for travelling the tourist places of Jaipur city. The taxi fare
in a city is as follows. Fare for the first km is ₹8 and for the subsequent distance it is ₹5 per km.
Answer the following questions:
i) Consider the distance covered as x km and the total fare as ₹ y, write a linear equation for this information.
a) 5x + y + 3 = 0 b) 5x - y - 3 = 0
c) 5x - y + 3 = 0 d) 9x + y + 3 = 0
ii) Compare the above equation with ax + by + c = 0, and find the value of (a + b + c).
a) 6 b) 7 c) 8 d) 9
iii) If total fare is ₹93, then find the total distance.
a) 16 km b) 17 km c) 18 km d) 19 km.
iv) If the distance covered is 11km, then find total fare.
a) ₹58 b) ₹68 c) ₹48 d) ₹88
v) If fare for first kilometre is ₹12 and fare have subsequent distance is ₹8 per km then write a linear
equation for the information.
a) 4x + y + 4 = 0 b) 6x - y + 6 = 0
c) 8x - y + 4 = 0 d) 7x - y + 7 = 0
Answers
Answer:
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Step-by-step explanation:
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Given : The taxi fare in a city is as follows. Fare for the first km is ₹8 and for the subsequent distance it is ₹5 per km.
distance covered as x km and the total fare as ₹ y
To Find : write a linear equation
Compare the above equation with ax + by + c = 0 and find the value of (a + b + c).
If total fare is ₹93, then find the total distance.
If the distance covered is 11km, then find total fare.
If fare for first kilometre is ₹12 and fare have subsequent distance is ₹8 per km then write a linear equation for the information.
Solution:
Fare for the first km is ₹8 and for the subsequent distance it is ₹5 per km.
=> y = 8 + 5(x - 1)
=> y = 8 + 5x -5
=> 5x - y + 3 = 0
Correct option is c) 5x - y + 3 = 0
ax + by + c = 0
a = 5 , b = -1 c = 3
a + b + c = 5 - 1 + 3 = 7
Correct option is b) 7
total fare is ₹93,
=> 5x - 93 + 3 = 0
=> x = 18
Correct option is c) 18 km
distance covered is 11 km
5(11) - y + 3 = 0
=> y = 58
Correct option is a) ₹58
first kilometre is ₹12 and fare have subsequent distance is ₹8
y = 12 + 8(x - 1)
=> y = 8x + 4
=> 8x - y + 4 = 0
Correct option is c) 8x - y + 4 = 0
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