Question

Ken was administered 200 mg of the same antibiotic. The amount of antibiotic f(t) in his body after time t is shown by the equation below.

f(t) = 200(0.976)t

Which statement best describes the rate at which Maureen and Ken's bodies eliminated the antibiotic between 1 hour to 4 hours?

Maureen's body eliminated the antibiotic faster than Ken's body.

Maureen's body eliminated the antibiotic at the same rate as Ken's body.

Maureen's body eliminated the antibiotic at half of the rate at which Ken's body eliminated the antibiotic.

Maureen's body eliminated the antibiotic at one fourth the rate at which kens body eliminated the antibiotics

Answer 1

@eashmore

Answer 2

@douglaswinslowcooper

Answer 3

@Hero

Answer 4

We need the equation for Maureen to draw any conclusion.

Answer 5

#2

Answer 6

@hero

Answer 7

@Mathmale

Answer 8

We need to determine the equation for Maureen's metabolic rate of antibiotics.

Clearly the equation is not linear because between hour 1 and hour 2 her change in blood concentration decreases by 60, while from house 2 to hour 3 her blood concentration decreases by 36.

The best way to determine the relationship is therefore probably by graphing.

If we plot both the table values listed in the table for Maureen and then make a table from the equation given for Ken and graph, we can determine the relationship between Maureen and Ken.