the function below gives the energy expended dependent on the number of minutes m spent running.
E(m)=12(0.75)^m
answer the following in complete sentences, being sure to put your answers into the context of the problem.
a. what does m=20 represent in the context of this problem?
b. what does E (45) mean in the context of this problem?
C. does finding E (-10) make sense in the context of this problem?
a. In the context of this problem, m=20 represents the number of minutes spent running. So, m=20 means that someone has been running for 20 minutes.
b. In the context of this problem, E(45) means the energy expended when someone has been running for 45 minutes. Plugging 45 into the function gives E(45)=12(0.75)^45, which calculates the amount of energy expended after running for 45 minutes.
c. Finding E(-10) does not make sense in the context of this problem because time spent running cannot be negative. In this situation, it doesn't make sense to consider the energy expended for a negative amount of time. The function is only valid for non-negative values of m.