Question

Exponential Function:

It is known that the concentration of anesthesia in human blood decreases exponentially according to the function
`f(x)=k* 0.95^(x)` , where K is the initial amount of anesthesia in milligrams and X is the time in minutes since its administration, how many milligrams of anesthesia are left in the patient's blood after hour and a half if it is known that 60 mg of anesthesia is initially administered?

Answer 1

Given,

• f(x) = k * 0.95^x

To find ;

• f(x) when x = 1•5hrs
• k = 60 mg

Now,

• 1•5 hrs = 90min

So,

• f(90)= 60*0.95^90
• = 0.59 mg

The required answer is 0.59mg .

Answer 2

• 0.59 mg

Explanation:

Given

• Function f(x)= k*0.95^x

To find

• f(x) when x= 1.5 hours and k = 60mg

Solution

• 1.5 hours = 90 min
• f(90) = 60*0.95^90 = 0.59 mg rounded