a cab charges the following fare for ea. trip...first 1/4 mi $2.95 for every additional 1/4 mi or part $0.65
(a)what is the fare for a distance of 1 5/8 mi? my answer...I got $8.85
(b) what is the fare for a didtance of 10 3/4 mi? My answer...$30.25
(c)what is the possible distance a customer can travel with $67.20? express the answer to 1 decimal place. i don't know how to do this.
To find the fare for a given distance, you need to calculate the base fare plus the additional charge for each additional 1/4 mile or part. Here's how you can calculate the fare for each of the given distances:
(a) Fare for a distance of 1 5/8 miles:
First, convert 1 5/8 miles to the number of 1/4 mile increments.
1 5/8 miles = 1 + 4/4 + 2/4 = 6/4 + 4/4 + 2/4 = 12/4 + 2/4 = 14/4
Since each 1/4 mile or part costs $0.65, multiply the number of 1/4 mile increments by $0.65:
14/4 * $0.65 = $9.10
Add the base fare:
$9.10 + $2.95 = $12.05
Therefore, the fare for a distance of 1 5/8 miles is $12.05.
(b) Fare for a distance of 10 3/4 miles:
Convert 10 3/4 miles to the number of 1/4 mile increments:
10 3/4 miles = 10 + 4/4 + 3/4 = 40/4 + 4/4 + 3/4 = 47/4
Multiply the number of 1/4 mile increments by $0.65:
47/4 * $0.65 = $7.35 * 47 = $34.45
Add the base fare:
$34.45 + $2.95 = $37.40
Therefore, the fare for a distance of 10 3/4 miles is $37.40.
(c) To find the possible distance a customer can travel with $67.20, subtract the base fare from the total amount and divide by the additional charge per 1/4 mile increment:
$67.20 - $2.95 = $64.25
$64.25 / $0.65 = 99.615
Rounding to one decimal place, the customer can travel approximately 99.6 miles with $67.20.
Please note that the above calculations assume that the fare is based on distance alone and do not account for any other additional charges that may apply.
(a) is 2.95 (first 1/4 mile) + 1.5 miles x2.60 ($/mile) = $6.85
(Same charge as as 1 3/4 miles)
(b) is correct
(c) After the first quarter mile, you have $64.25 left to travel at a rate of $2.60 per mile. That will take you an additional 24.5 miles, for a total of 24.75 miles. Total charge: $66.65 The next jump in the meter would take you to $67.30, so you have to stop at 24.75 miles.