A quantity of insulin used to regulate sugar in the bloodstream breaks down by about 5% each minute. A body-weight adjusted dose is generally 10 units. (a) Write a function representing the amount of the dose that remains. (b) Graph the function. (c) About how much insulin remains after 10 minutes?

How do I solve this??

Question

A quantity of insulin used to regulate sugar in the bloodstream breaks down by about 5% each minute. A body-weight adjusted dose is generally 10 units. (a) Write a function representing the amount of the dose that remains. (b) Graph the function. (c) About how much insulin remains after 10 minutes? 

How do I solve this??

anonymous · Answer

Let A(t) represent the amount of dose that remains after t minutes. 
a) 
A(t) = 10 (0.95)^t 
c) 
10 (0.95)^10 = 5.987 units 
d) 
0.5 = 10 (0.95)^t 
solve for t 
0.05 = (0.95)^t 
log (0.05) = t log(0.95) 
t = log(0.05) / log(0.95) = 58.4 minutes

anonymous · Answer

Thank youuuuuu!! :)