Question

Anu wants to hire a taxi to go to a party. The taxi charges Rs. 15 for the first kilometer

and Rs. 8 each for every subsequent kilometer. Take the distance as x km and y as the

amount paid.



i) Write an equation to represent the above situation.​

Answer 1

ᴛᴏᴛᴀʟ ᴅɪsᴛᴀɴᴄᴇ ᴛʀᴀᴠᴇʟʟᴇᴅ = x ᴋᴍs

ᴛᴏᴛᴀʟ ғᴀʀᴇ = ʏ ʀs

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ǫᴜᴇsᴛɪᴏɴ,

ғᴀʀᴇ ғᴏʀ ғɪʀsᴛ ᴋᴍ = ʀs 15

ғᴀʀᴇ ғᴏʀ ʀᴇᴍᴀɪɴɪɴɢ (x−1)ᴋᴍs=ʀs8

ᴛʜᴇʀᴇғᴏʀᴇ ʀᴇǫᴜɪʀᴇᴅ ʟɪɴᴇᴀʀ ᴇǫᴜᴀᴛɪᴏɴ:

ʏ=15+8(x−1)

ʏ=15+8x−8

ʏ=7+8x