Mr. Govind goes to his office in a taxi which charges₹80for the first 4 km and ₹10per km thereafter. If the distance from home to office is 'x' and the total charge is 'y'.
write an equation to represent this situation in standard form ax + b y + c = 0
if x = 9 then find the corresponding Y value is____
if x = 16 then find the corresponding Y value is______
if x = 45 then find the corresponding Y value is_____
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.
Answer:
Given : The distance covered = x km
Total charge = ₹ y
Fare for first 4 kilometres = ₹ 80
Fare per km = ₹ 10
Fare for every subsequent distance = 10 ( x - 4 )
Total fare = Fare for first 4 km + subsequent distance × fare per km
=> 80 + 10 ( x - 4 ) = y
=> 80 + 10x - 40 = y
=> 10x + 40 = y
if x = 9 then find the corresponding Y value is____
p ( 9 ) = 10 ( 9 ) + 40 = y
=> 90 + 40 = y
=> y = 130
if x = 16 then find the corresponding Y value is______
p ( 16 ) = 10 ( 16 ) + 40 = y
=> 160 + 40 = y
=> y = 200
if x = 45 then find the corresponding Y value is_____
p ( 45 ) = 10 ( 45 ) + 40 = y
=> 450 + 40 = y
=> y = 490