Question

Q9. Taxi fare in a city is Rs. 8 for first kilometer and for the subsequent distance it is Rs. 5 per km. Write an equation to represent this information in two variables taking distance covered as x km and total fare as y (in Rs.). Find the distance travelled by a person if he spent Rs. 6 3.

Answer 1

Multiply the whole thing for 4

Answer 2

Given,

• Total distance covered = x km = 1 + (x-1) km
• Fare For first kilometre = Rs 8
• Fare for subsequent distance= ₹5 per km
• Fare for next (x-1) km = 5(x-1)

Total fare = y

⇒ 8 + 5(x-1) = y

⇒ 8 + 5x - 5 = y

⇒ 5x - y + 3 = 0 → is the required linear equation.

It can also be written as y = 5x + 3

• When x = 0 , then y = 3
• When x = 1 , then y = 5 + 3 = 8
• When x = 2 , then y = 10 + 3 = 13

Now plot the points A(0,3), B(1,8), C( 2,13) on the graph paper and join them to form a line BC, which represents the required graph of linear equation.