SOLUTION: In administering rescue breathing on an adult, the rescuer firstly gives two regular sized breaths followed by a circle of ten breaths every minute. a.Create a function where n

Algebra ->  Functions -> SOLUTION: In administering rescue breathing on an adult, the rescuer firstly gives two regular sized breaths followed by a circle of ten breaths every minute. a.Create a function where n       Log On


   

Question 1121874: In administering rescue breathing on an adult, the rescuer firstly gives two regular sized breaths followed by a circle of ten breaths every minute.
a.Create a function where n represents the number of breaths you would need to administer to a victim over t number of minutes.
b. Describe in words, the input and output of the function you created.
c. What type of function did you create, and what would be the domain?
d. Create a table with 2 columns and list the input and output.


I'm not sure if I'm on the right track but I thought the function might be:
n(t)= 2 + 10n or n(t)= 2t + 10
It would be a linear function. I'm not sure about the domain.
Thank you so much!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Neither. 2 + 10n doesn't make any sense, and why would you multiply the number of minutes by 2, when the factor on the number of minutes is clearly 10.



Graph it. If it is a straight line, it is a linear function. Also note that the largest exponent on the variable is 1 (in the absence of an exponent, the exponent is understood to be 1) which means that the function is linear (at least until t gets so large that the rescuer collapses from exhaustion)

Mathematically speaking, this is just a first-degree polynomial function and the domain of all polynomial functions of any degree is the set of all real numbers. But this function is a model of a real-world situation, so the domain, which is the set of all numbers for which the function is defined, must make sense in terms of the real world. One consideration would be negative numbers. Would it make sense to give CPR for -2 minutes so that instead of giving the patient your breath, you would take back 18 breaths? There is probably a practical upper limit to the number of minutes that a person would receive CPR -- I don't know what that is, but I can't imagine this function making sense for values of t in excess of 30 minutes.


John

My calculator said it, I believe it, that settles it