Understanding Composite Functions in Bus Ride Context

The video tutorial explains the relationships between three functions related to a bus ride: P, N, and T. Function P calculates the probability of arriving on time based on bus arrival time. Function N determines the number of people at the bus stop when the bus arrives. Function T relates bus arrival time to precipitation. The tutorial evaluates composite functions to determine which make sense in context, concluding that choices A and C are valid.

What is the input for function P?

• Centimeters of precipitation per hour

• Time the bus arrives

• Number of people at the bus stop

• Probability of getting to work on time

What does function N output?

• Number of people at the bus stop

• Centimeters of precipitation per hour

• Probability of getting to work on time

• Time the bus arrives

In the first composite function, what is the role of T?

• It outputs the probability of getting to work on time

• It outputs the time the bus arrives

• It outputs the number of people at the bus stop

• It outputs centimeters of precipitation per hour

Why does the first composite function make sense?

• Because it uses centimeters of precipitation per hour as input for N

• Because it uses the probability of getting to work on time as input for T

• Because it uses the number of people at the bus stop as input

• Because it uses the time the bus arrives as input for P

What is incorrect about the second composite function?

• It uses the number of people at the bus stop as input for P

• It uses the time the bus arrives as input for T

• It uses centimeters of precipitation per hour as input for N

• It uses the probability of getting to work on time as input for N

What does the third composite function correctly use as input for N?

• Centimeters of precipitation per hour

• Probability of getting to work on time

• Time the bus arrives

• Number of people at the bus stop

Why is the third composite function valid?

• Because it uses the number of people at the bus stop as input for T

• Because it uses centimeters of precipitation per hour as input for P

• Because it uses the probability of getting to work on time as input for T

• Because it uses the time the bus arrives as input for N

What is the output of P in the fourth composite function?

• Centimeters of precipitation per hour

• Number of people at the bus stop

• Probability of getting to work on time

• Time the bus arrives

Why does the fourth composite function not work?

• It uses the probability of getting to work on time as input for T

• It uses the time the bus arrives as input for N

• It uses centimeters of precipitation per hour as input for P

• It uses the number of people at the bus stop as input for T

Which composite functions are valid in this context?

• First and second

• Second and third

• First and third

• Third and fourth