Experiments conducted by A.J. Clark suggest that the response R(x) of a frog's heart muscle to the injection of x units of acetylcholine (as a percent of the maximum possible effect of the drug) may be appromixated by the rational function
R(x)=100x/b+x (x greater than or equal to 0)
where b is a positive constant that depends on the particular frog.
a. If concentration of 40 units of acetylcholine produces a response of 50% for a certain frog, find the "response function" for this frog.
b. Using the model found in part (a), find the response of the frog's heart when 60 units of acetylcholine are administered.
I am so confused by this problem.
Help would be greatly appreciated.
I've had to post this more than I had wanted to, simply because I haven't been able to receive a thorough answer with steps attached and the why.