Problema Solution
A nurse must be careful not to inject a drug too quickly into a patient’s IV. If the drug is injected at the maximum rate of 0.04 cc per second, and the total amount to be injected is 40 cc,
a. Create an equation that tells the amount injected as a function of time (in seconds);
b. Determine the time required to complete the injection.
Answer provided by our tutors
let
v = 0.04 cc/sec
s = 40 cc the total amount to be injected
t = the time needed for the injection
a. since the rate of injection = the total amount injected/the time needed to inject thus we can write
v = s/t => s = v*t
the total amount injected = the rate * the time
now we can create an equation that tells the amount injected as a function of time t (in seconds);
f(t) = v*t
f(t) = 0.04t
b. we will find the time required to complete the injection by putting f(t) = 40 cc
0.04*t = 40
t = 40/0.04
t = 1000 sec
t = 16 min 40 sec
the time required to complete the injection is 16 min 40 sec.