Question

An auto charges ₹15 for first kilometer and ₹8 for subsequent kilometer. For a distance of 'x' km an amount of ₹y is paid.write a linear equation representing this information and draw the graph. With the help of graph find the distance travelled if the fare paid is ₹55?How much would have paid for 7 kilometers​

Answer 1

Answer:

6km, ₹63

Step-by-step explanation:

15+8x=55→x= 5, Total Dist=5+1= 6km

15+8×6=63

Answer 2

Answer:

Total distance travelled = x kms

Total fare = y rs

According to question,

fare for first km = rs 15

fare for remaining (x−1)kms=rs8

Therefore required linear equation:

y=15+8(x−1)

y=15+8x−8

y=8x+7

x= 0,1,2,3

y=7,5,23,31

Now,

if auto travel 1km , then x=1

Thus , y=8(1)+7

=8+7=₹15

If auto travel 7km , then x=7

Thus , y=8(7)+7

=56+7

=₹63

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