Rates of change in rational functions

[sitbar]

hi people, I need help with this one question:
The concentration, c, of a drug in the bloodstream t hours after the drug was taken orally is given by where c is measured in milligrams per litre.
a) Calculate the average rate of change in the drug’s concentration during the first 2 h since ingestion.
b) Estimate the rate at which the concentration of the drug is changing after exactly 3 h.

c(t)= 5t/(t^2+7) <---- the equation.

I have no idea how to do this and I have a test in two days, thanks

 

[stapel]

The concentration, c, of a drug in the bloodstream t hours after the drug was taken orally is given by where c is measured in milligrams per litre.
a) Calculate the average rate of change in the drug’s concentration during the first 2 h since ingestion.
b) Estimate the rate at which the concentration of the drug is changing after exactly 3 h.

c(t)= 5t/(t^2+7) <---- the equation.

I have no idea how to do this....

You've posted this to "Algebra" and say that you "have no idea how to do this". "This" is customarily done with calculus! Since you're only in "Algebra", your class must have been taught some formula or algorithm for this, since obviously you can't use derivatives or integrals.

Please reply with the method your algebra class is using for this. Thank you!