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2 years ago

A medication with an initial concentration of 1. 5 milligrams per liter is administered to a

Mathematics

1 answer:

lesya [120]2 years ago

8 0

Answer: Exponential decay model:

(

−

)

, half life of tablet is about

hours and after

hours , remaining drug on patient's system is

42.875

mg.

Step-by-step explanation: Initial drug

125

mg ; rate of decay

100

0.3

gm/hour

Exponential model:

(

−

)

125

(

−

0.3

)

125

⋅

0.7

Half life:

125

62.5

∴

62.5

125

⋅

0.7

. Taking logarithm on both sides we get ,

log

(

0.7

)

log

(

0.5

)

∴

log

(

0.5

)

log

(

0.7

)

≈

1.94

(

)

hour

The half life of tablet is about

hours.

After

hours , remaining drug on patient's system is

125

⋅

0.7

125

⋅

0.7

42.875

mg [Ans]

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