Question

Children, let us try to solve following problems by both algebraic and graphical method:
1. The auto fare for first km is fixed at Rs 10 and for the subsequent distance it is Rs 5 per km. Find total fare of 6 km distance​

Answer 1

Answer:

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)

Step-by-step explanation:

Hope this  helps you :)

_--- from your sweet brother ;)