Question

2. A certain drug is eliminated from the human body according to an exponential model. After 2 hours, there are 32 mg left. Five hours after taking a dose of this drug, there are 10 mg remaining in the body. a) State the two points you will use to solve this problem or make a table. “Five hours after taking a dose of this drug, there are 10 mg remaining in the body. hours, there are 32 mg left. b) Find the equation that models this behavior. c) How much of the drug was present in the body one hour after taking the dose? I d) When will there be 1 mg of the drug remaining in the body?​

Answer 1

The exponential function is given by $y = 69.5(0.6786)^x$

Exponential function

An exponential function is in the form:

$y=ab^x$

Where a is the initial value of y and b is the multiplier factor

Let y represent the amount of drug after x hours.

After 2 hours, there are 32 mg left. Hence:

• 32 = ab²    (1)

After 5 hours, there are 10 mg left. Hence:

• 10 = ab⁵      (2)

From equation 1 and 2, b = 0.6786, a = 69.5

The exponential function is given by $y = 69.5(0.6786)^x$

At 1 hour:

y = 69.5(0.6786) = 47 mg

Find out more on exponential function at: brainly.com/question/12940982