To determine the cost of Carlita's 2-hour tour (120 minutes), we can observe the pattern of the total costs at the given time intervals:
- At 0 minutes, the cost is $2.
- At 15 minutes, the cost is $10.25.
- At 30 minutes, the cost is $18.50.
- At 60 minutes, the cost is $35.00.
- At 75 minutes, the cost is $43.25.
- At 90 minutes, the cost is $51.50.
To find the cost for 120 minutes, we can look for a trend or pattern in the costs related to the time. Let's determine how much she would pay for 120 minutes based on the existing data:
- From 0 to 15 minutes: Increase of $8.25
- From 15 to 30 minutes: Increase of $8.25
- From 30 to 60 minutes: Increase of $16.50
- From 60 to 75 minutes: Increase of $8.25
- From 75 to 90 minutes: Increase of $8.25
The observed patterns are that for the first 30 minutes there is a consistent increase, and afterward the increments show a slight fluctuation.
To estimate the cost for 120 minutes, we can extrapolate the existing price at 90 minutes and see if the trend continues. The last known price is $51.50 at 90 minutes.
Continuing the existing pattern of increments for the last segments, we can estimate:
- From 90 to 120 minutes, if we assume that if the increment remains around $8.25:
Cost at 90min = $51.50 Estimated cost from 90 to 120 min (30 min added): $51.50 + (8.25 * 3.5) = $51.50 + $28.88 = $80.38.
This is assuming the increase is consistent. However, since this is likely an exponential growth cost structure, we would need to further define the pattern or conditions given the $75 budget.
Since $80.38 (estimated) is still higher than $75, it indicates that she would not be able to afford a 2-hour tour.
Hence, the options provided, the most reasonable answer based on calculations would seem closest to:
No, the tour cost is $84.50. (though the exact derived value is different but conveys the message of exceeding budget).