Question

A man hires an auto rikshaw to cover a certain distance . The fare is ₹20 for first km and ₹9 for subsequent kilometers. Taking total distance covered as x km and fare ₹y

(a) Write a linear equation in this

(b) The man covers a distance of 15 Km and gave ₹ 150 to the auto driver. Auto driver said “It is not the correct amount” and returned him the balance. Find the correct amount paid back by the auto
driver. Which value is depicted by the auto driver?

Answer 1

Answer:

below is the answer:

Step-by-step explanation:

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.

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