Use the following information Oxaprozin is a medicine prescr

Use the following information. Oxaprozin is a medicine prescribed to manage osteoarthritis and rheumatoid arthritis. After the drug reaches peak concentration in the blood stream, the body begins to reduce the amount of medicine present according to the formula

A(t) = 600e^0.0173t

where A is the amount of medicine (in milligrams) left in the body t hours after peak concentration.†

Rewrite the formula in the form

A(t) = ab^t.

(Round b to four decimal places.)

A(t) =

What does b represent in this situation?

(a). b represents the continuous decay rate and shows the factor by which the amount of medicine will change over the course of one hour.

(b). b represents the periodic growth factor and shows the factor by which the amount of medicine will change over the course of one hour.    

(c). b represents the continuous growth rate and shows the factor by which the amount of medicine will change over the course of one hour.

(d). b represents the periodic growth factor and shows the amount of medicine present in the body at peak concentration.

(e). b represents the initial value and shows the amount of medicine present in the body at peak concentration.

Solution

given A(t) = 600e^0.0173t

A(t) = 600(e^0.0173)^t

A(t) = 600(0.9828)^t

b=0.9828 ,a =600

(b). b represents the periodic growth factor and shows the factor by which the amount of medicine will change over the course of one hour.