Question

Jan and Jake use the same taxi cab service. Jan pays $12 for 12 miles and Jake pays $9 for 8 miles. Find the price per mile the cab company charges. Cost per mile = ?

Answer 1

cost per mile: total cost/miles

Explanation:

If they were to ask a basic fee:

`$12=12` miles
`$9=8` miles

So `$12-$9=3$`
There is an increase of `$3= $12-$8` = on `4` miles

So each mile costs `3/4= $0.75`

With a basic fee: `12` miles will cost: `12 xx0.75= 9`

`$12-$9=$3` basic fee

Check:
`8xx0.75=6`

`$6+3$` basic fee=`$9`

And that adds up for Jake.

With algebra:

`(Delta y) / (Delta x)`

`(12-9 =3 (Delta y))/(12-8 =4 (Delta x))`

So it's `y=3/4x+b`

`12=3/4xx12+b`

`12=9+b`

`b=12-9`

`b=3`

`y=3/4x+3`