Final answer:
To find out how many calories a person will burn in 30 minutes, the composite function c(f(3t)) needs to be evaluated, where 't' is the time for 10 minutes of stair climbing.
Step-by-step explanation:
The concept in question involves composite functions in mathematics, specifically within the context of an application problem that combines two functions related to exercise: c(f) for calories burned and f(t) for number of floors climbed.
To determine the calories burned in 30 minutes, one needs to consider the rate provided by f(t) for 10 minutes and then adjust it to reflect 30 minutes of activity, since the relationship between floors climbed and time is directly proportional. Therefore, the composite function necessary would be c(f(3t)) where 't' represents the 10-minute interval. To perform the actual calculation, additional details such as the actual functions or numerical rates would be needed.
To determine the number of calories a person will need to burn in 30 minutes, we need to evaluate the composition function c(f(t)).
First, we need to find the value of f(t) for 10 minutes, which gives the number of floors of stairs an average person can walk in 10 minutes.
Then, we substitute the value of f(t) into c(f) to find the average number of calories burned for walking f floors of stairs.