4.
The taxi fare in a city is as follows: For the first kilometre, the fare is 8 and for the
subsequent distance it is 5 per km. Taking the distance covered as x km and total
fare as y, write a linear equation for this information, and draw its graph.
Answers
Answer:
x 0 1 2
y 3 8 13
Taxi fare for first kilometer = Rs. 8
Taxi fare for subsequent distance = Rs. 5
Total distance covered =x
Total fare =y
Since the fare for first kilometer = Rs.8
According to problem,
Fare for (x–1) kilometer = 5(x−1)
So, the total fare y=5(x−1)+8
⇒y=5(x−1)+8
⇒y=5x–5+8
⇒y=5x+3
Hence, y=5x+3 is the required linear equation.
Now the equation is
y=5x+3 ...(1)
Now, putting the value x=0 in (1)
y=5×0+3
y=0+3=3 So the solution is (0,3)
Putting the value x=1 in (1)
y=5×1+3
y=5+3=8. So the solution is (1,8)
Putting the value x=2 in (1)
y=5×2+3
y=10+3=13. So the solution is (2,13)
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x 0 1 2
y 3 8 13
Taxi fare for first kilometer = Rs. 8
Taxi fare for subsequent distance = Rs. 5
Total distance covered =x
Total fare =y
Since the fare for first kilometer = Rs.8
According to problem,
Fare for (x–1) kilometer = 5(x−1)
So, the total fare y=5(x−1)+8
⇒y=5(x−1)+8
⇒y=5x–5+8
⇒y=5x+3
Hence, y=5x+3 is the required linear equation.
Now the equation is
y=5x+3 ...(1)
Now, putting the value x=0 in (1)
y=5×0+3
y=0+3=3 So the solution is (0,3)
Putting the value x=1 in (1)
y=5×1+3
y=5+3=8. So the solution is (1,8)
Putting the value x=2 in (1)
y=5×2+3
y=10+3=13. So the solution is (2,13)