Where K is a constant to be determined. If it took Ian 45 minutes to exit the stadium when there were 5,000 people who drove and 1,500 people who took public transportation, how much time will it take Ian to exit if there are 12,500 people who drove and 4,00 who took public transportation? Round your answer to the nearest minute.

a. 90 minutes
b. 150 minutes
c. 42 minutes

To solve this problem, we need to determine the relationship between the number of people and the time it takes for Ian to exit the stadium. The given problem states that the time Ian takes to exit the stadium depends on the number of people, and it can be modeled by the formula:

Time = K * (Number of People)

To find the value of the constant K, we can use the given information:

When there were 5,000 people who drove and 1,500 people who took public transportation, it took Ian 45 minutes to exit. Plugging these values into the formula, we get:

45 = K * (5,000 + 1,500)

Now, let's solve for K:

K = 45 / (5,000 + 1,500)
K = 45 / 6,500
K ≈ 0.00692

Now that we have determined the value of K, we can use the formula to find how much time it will take Ian to exit the stadium when there are 12,500 people who drove and 4,000 people who took public transportation:

Time = 0.00692 * (12,500 + 4,000)
Time ≈ 0.00692 * 16,500
Time ≈ 114.18

Rounding to the nearest minute, it will take Ian approximately 114 minutes to exit the stadium.

None of the provided answer choices (a. 90 minutes, b. 150 minutes, c. 42 minutes) match the calculated result of approximately 114 minutes.