#### Question

# Can someone show me the steps they take to solve this math question?

A taxi cab charges $0.80 for the first 1/5 of a mile and $0.10 for each additional 1/10

of a mile. What is the cost of a 3 mile trip?

#### Answer

1/5=2/10 so with the first mile we have 8/10 left.

10 cents = 1/10 of a mile so 1 mile is $1.00.

So 8 (from the first mile) x .10 = .80

so the first mile is .80+.80=1.60

The next two miles are each $1.00

$1.00x2=$2.00

2

$2.00+$1.60=$3.60

answer is $3.60

Work it out at $1 a mile and add the extra 60 cents for the first 2/10 of a mile

= $0.80 + $0.10([3 - 1/5]/[1/10])

= $0.80 + $0.10(28)

= $0.80 + $2.80

= $3.60

Answer: $3.60

convert the denominator of 1/5 to 10 which would make it 2/10. That would be .80 cents. then there's another 80 cents and you have 1 mile. and 1.00 for every other mile, so youre total would be 3.60.

The first 2/10 would cost $.80.

The next 8/10 would cost $.80.

The first mile would cost you a total of $1.60.

Now that each additional 1/10 costs .10 you can conclude that it costs 1.00 per mile.

First mile costs 1.60

Second mile costs 1.00

Third mile costs 1.00

-------------------------------------

3.60 total

so the flag pull [start moving] costs 60 cents -- that's 80 cents minus the 20 cents for the first 2/10th mile you don't get charged for

and miles cost 1 dollar per mile [to the nearest 1/10th mile] -- 10 cents divided by 1/10 mile

***

a three mile trip is then $3.60

plus tip, of course -- so its really 5 bucks.