A nurse must careful not to inject a drug too quickly into a patient's IV. If the drug is injected at maximum rate of 0.04cc per second, and the total amount to be injected is 25cc. create an equation that tells the amount injected as a function of time in seconds. Determine the time required to complete the injection
x = 0.04 t
25 = 0.04 t
t = 25/.04 = 625 seconds
which is about ten and a half minutes
To create an equation that relates the amount of drug injected to the time in seconds, we can use the formula:
Amount Injected (in cc) = Rate of Injection (in cc/sec) * Time (in sec)
Let's represent the amount injected as "A" and the time in seconds as "t". The rate of injection is given as 0.04 cc/sec.
Therefore, the equation becomes:
A = 0.04t
Now, we need to determine the time required to complete the injection when the total amount to be injected is 25 cc. We can rearrange the equation to solve for "t":
t = A / 0.04
Substituting the value of A as 25 cc, we have:
t = 25 / 0.04
Simplifying this expression, we find:
t = 625 seconds
Therefore, it will take 625 seconds to complete the injection if the drug is injected at a maximum rate of 0.04 cc/sec.