Question

The taxi fare in a city as follows for the first kilometer, the fare is 10 and for the subsequent distance, it is ` 6 per km. Taking the distance covered as x km and total fare as y draw the graph. Find the total fare for 15 km.​

Answer 1

Answer:

The person has to pay ₹94 for 15 kilometers.

Note: Kindly look at the photo for the graph.

Step-by-step explanation:

As per the question, the equation will be:

y=6(x-1)+10

This is because, total distance covered is 'x'. ₹10 is allotted for the 1st kilometer and ₹6 for the subsequent kilometers.

So, x-1 is the remaining kilometers that must be multiplied by 6 and then add ₹10.

y=6x-6+10

y=6x+4 is the required equation.

For 15km:

x=15km.

Now, substitute x=15 in the drawn equation.

∴y=6×15 +4

y=90+4

y=94

Therefore, for 15 kilometers, the person has to pay ₹94.

Check (without equation):

1st kilometer- ₹10

15-1=14

next 14 kilometers- 6×14 = ₹84

Therefore for 15 km, 10+84= ₹94