The amount of medicine in a patient's bloodstream is shown by the function A(h)=600(0.75)^h, where h is the number of hours that have passed since the medicine was given.

A: The amount of medicine in the bloodstream increases by 25% each hour.
B: The amount of medicine in the bloodstream decreases by 25% each hour.
C: The amount of medicine in the bloodstream increases by 75% each hour.
D: The amount of medicine in the bloodstream decreases by 75% each hour.

Respuesta :

The amount of medicine in the bloodstream decreases by 25% each hour.

Exponential equation

The standard exponential equation is expressed as:

y = ab^x

a is the initial amount

b is the rate

If b < 1, hence there is a declince

Given the expoenentia equation A(h)=600(0.75)^h,

b = 1 - r = 0.75

r = 1 - 0.75

r = 0.25

This shows that the amount of medicine in the bloodstream decreases by 25% each hour.

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