Question

a man hires an auto rickshaw to cover a certain distance the fare is ₹ 10 for first kilometre and ₹ 7 for subsequent kilometres taking Total distance covered as X kilometre and Total fare as Y kilometre

1. Form a linear equation
2. The man covers a distance of 16 km and gave rs. 120 to the auto driver. Auto driver said,"its not the correct amount" and returns him the money. Find the correct amount paid by the auto driver

Answer 1

1) 
Given, 
Total distance = X km 
Total fare = Rs. Y 
According to given condition, 
First km = Rs. 10 
Therefore remaining distance after 1st km would be (X-1)km. 
Fare for remaining distance is Rs.7/km 
Hence cost would be 
7 × (X-1) Rs. 
Total cost= 10+ 7×(X-1) 
Y = 10 + 7X-7 
Y=3+7X 
Linear equation -- 7X-Y+3=0 

2) 
Total distance travelled is 16 km 
therefore x=16 km 
putting the value of X in above equation we get, 
7 (16)-Y+3=0 
112+3=Y 
Y = 115 

3) 
The value shown by the man is honesty, self respect and not doing bad deeds.

(1).Total distance covered = x km
Now, Fare for first km = Rs 10Now, remaining distance to be covered = (−1) kmFare for each subsequent Kilometres = Rs 7So Fare for covering (−1) km = Rs [7(−1)] = Rs(7x−7)

Now, Total fare for covering x km = 10 + 7x − 7 = Rs(7+3)
Now, according to question,y = 7x+3(2).

Put x = 16 in the above equation, then we gety = 7 × 16 + 3 = 115So, correct amount for covering 16 km = Rs 115.So, amount paid back by the auto driver = 200−115 = Rs 85(3).

The values depicted are :honesty, self respect.

 HOPE IT HELPED YOU MATE!!!!!!!!!!

Answer 2

Answer : total distance covered = x km

              total fare =rs.  y

Step-by-step explanation :

                   

1.

   y = 10 + 7( x-1 )

⇒ y = 10 + 7x - 7

⇒ y = 3 + 7x

⇒ 7x - y + 3 = 0

∴ The required equation is, 7x - y + 3 = 0

ANOTHER TYPE

1)  

Given,  

Total distance = X km  

Total fare = Rs. Y  

According to given condition,  

First km = Rs. 10  

Therefore remaining distance after 1st km would be (X-1)km.  

Fare for remaining distance is Rs.7/km  

Hence cost would be  

7 × (X-1) Rs.  

Total cost= 10+ 7×(X-1)  

Y = 10 + 7X-7  

Y=3+7X  

Linear equation -- 7X-Y+3=0  

2)  

Total distance travelled is 16 km  

therefore x=16 km  

putting the value of X in above equation we get,  

7 (16)-Y+3=0  

112+3=Y  

Y = 115  

3)  

The value shown by the man is honesty, self respect and not doing bad deeds.

(1).Total distance covered = x km

Now, Fare for first km = Rs 10Now, remaining distance to be covered = (−1) kmFare for each subsequent Kilometres = Rs 7So Fare for covering (−1) km = Rs [7(−1)] = Rs(7x−7)

Now, Total fare for covering x km = 10 + 7x − 7 = Rs(7+3)

Now, according to question,y = 7x+3(2).

Put x = 16 in the above equation, then we gety = 7 × 16 + 3 = 115So, correct amount for covering 16 km = Rs 115.So, amount paid back by the auto driver = 200−115 = Rs 85(3).

The values depicted are :honesty, self respect.

HOPE IT HELPED YOU MATE!!!!!!!!!!

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