Question

I booked auto from station to go home. The auto fare was decided

Rs x for first km and Rs y for every consecutive km. After 10 km he

charged Rs 40 and after 16 km he charged Rs 58.

Then find rate for 1 km?​

Answer 1

Answer:

Step-by-step explanation:

Let the total distance be x km

and total cost be y

now, 10rs for 1st km, and 4Rs. per km for rest

so,

y=1(10)+4(x-1)

y=4x+6,

 

sub,

x=-2,y=-2

x=-1, y=2

 

so plot points (-2,-2),(-1,2)

scale : 1cm = 1 unit on both axis

 

Answer 2

Answer:

Cost of one consecutive km=3 rupees

Cost of the first km = 13 rupees

Step-by-step explanation:

10km=40₹

16km=58₹

Amount for 6 consecutive kms=18₹

6y=18₹

y=3₹

y=₹3

Value of x

10km=9y+x

10km=(3×9)₹+x

10km=27₹+x

x=40₹-27₹

x=13₹

x=₹13

∴Cost of one consecutive km=3 rupees

 Cost of the first km = 13 rupees