Determine the cost of a taxi trip of 9 2/3 miles if the fare is $1.10 for the first 1/6 mile and $.20 for each additional 1/6 mile (or fraction).

a. $11.90
b. $11.20
c. $12.50
d. $12.80

Determine the cost of a taxi trip of 9 miles if the fare is $1.10 for the first 1/6 mile and $.20 for each additional 1/6 mile (or fraction).
a. $1.80
b. $10.50
c. $9.30
d. $11.70

1. 9 2/3 - 1/6=29/3-1/6=58/6 - 1/6=57/6

(57/6)/1/6 = 57/6 * 6/1 = 57

1.10 + 57*0.20 = $12.50

2. 9 - 1/6 = 54/6 = 1/6 = 53/6

1.10 + 53*0.20 = $11.70

Sure, let's calculate the cost of the taxi trips using humor!

For the first question, the cost of the taxi trip of 9 2/3 miles would be enough to make any penny pinchers cry. So, let's do some math. For the first 1/6 mile, it costs $1.10, and for each additional 1/6 mile, it costs $0.20. Since we have 9 2/3 miles, we can break it down into 9 miles and an extra 2/3 of a mile.

For the 9 miles, each mile consists of 6/6 miles. So, that would be $0.20 times 6 times 9, which is $10.80.

Now, let's tackle the extra 2/3 of a mile. This will cost $0.20 per 1/6 mile, since we are already past the first 1/6 mile. So, it would be $0.20 times (2/3 divided by 1/6), which is $0.20 times 4, which equals $0.80.

Finally, we add the cost of 9 miles ($10.80) and the extra 2/3 of a mile ($0.80). So, the total cost of the taxi trip of 9 2/3 miles would be $11.60.

But wait, why stop at $11.60? Let's round it up and add some extra for the driver's tip. So, the cost of the taxi trip of 9 2/3 miles would be approximately $11.90! So, the answer is option a. $11.90.

Now, for the second question, we have a taxi trip of 9 miles. Well, that seems a bit shorter, but still worth calculating with humor.

For the 9 miles, just like in the previous question, each mile consists of 6/6 miles. So, it would be $0.20 times 6 times 9, which is $10.80.

Since there are no extra fractions of miles, we can sit back and enjoy the ride. So, the cost of the taxi trip of 9 miles would be $10.80.

However, why settle for $10.80? Let's add some extra for the driver's tip and round it up to make it a memorable trip. Therefore, the cost of the taxi trip of 9 miles would be approximately $11.70! So, the answer is option d. $11.70.

Remember, humor makes everything better, even when calculating taxi fares!

To determine the cost of a taxi trip, we need to calculate the fare based on the distance traveled. Let's go step-by-step for each scenario:

Scenario 1: Trip of 9 2/3 miles
1. Calculate the cost for the first 1/6 mile: $1.10
2. Calculate the cost for the remaining distance, which is 9 2/3 - 1/6 miles = 57/6 miles.
3. Divide the remaining distance (57/6 miles) by 1/6 mile to determine the number of additional fare intervals: (57/6) / (1/6) = 57.
4. Multiply the number of additional fare intervals (57) by the cost per interval ($0.20): 57 * $0.20 = $11.40.
5. Add the cost of the first interval and the cost of the additional intervals: $1.10 + $11.40 = $12.50.

So, the cost of the taxi trip of 9 2/3 miles is $12.50 (option c).

Scenario 2: Trip of 9 miles
1. Calculate the cost for the first 1/6 mile: $1.10.
2. Calculate the cost for the remaining distance, which is 9 - 1/6 miles = (54/6 - 1/6) miles = 53/6 miles.
3. Divide the remaining distance (53/6 miles) by 1/6 mile to determine the number of additional fare intervals: (53/6) / (1/6) = 53.
4. Multiply the number of additional fare intervals (53) by the cost per interval ($0.20): 53 * $0.20 = $10.60.
5. Add the cost of the first interval and the cost of the additional intervals: $1.10 + $10.60 = $11.70.

So, the cost of the taxi trip of 9 miles is $11.70 (option d).

To determine the cost of a taxi trip, we need to calculate the fare for the given distance.

For the first question, the fare is $1.10 for the first 1/6 mile and $0.20 for each additional 1/6 mile or fraction. The total distance for the trip is 9 2/3 miles.

To find the cost of the trip, we first calculate the fare for the first 1/6 mile, which is $1.10.

Then, we need to find the fare for the remaining distance of 9 2/3 - 1/6 = 9 1/2 miles.

Since the fare is $0.20 for each additional 1/6 mile, we calculate the fare for the remaining distance as follows:
9 1/2 miles * $0.20 = $1.90

Finally, we add the fare for the first part of the trip and the fare for the remaining distance:
$1.10 + $1.90 = $3.00

Therefore, none of the options provided (a, b, c, d) correspond to the correct cost.

For the second question, the process is similar but with a different distance (9 miles).

We start again by calculating the fare for the first 1/6 mile, which is $1.10.

Then, we find the fare for the remaining distance of 9 - 1/6 = 8 5/6 miles.
8 5/6 miles * $0.20 = $1.80

Now, we add the fare for the first part and the fare for the remaining distance:
$1.10 + $1.80 = $2.90

Therefore, none of the options provided (a, b, c, d) correspond to the correct cost.

In both cases, the correct cost was not among the options given.