Question

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the persons system decreases by about 29%. How much ibuprofen is left after 6 hours

Answer 1

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

51.54 mg of ibuprofen after 6 hours

Explanation:

Answer 2

51.54 mg of ibuprufen would be left after 6 hours

Explanation:

Using exponential decay function:

y = a ×
`(1 - b)^(x)`

y : Final amount after decay

a : Original amount = 400

x : time = 6 hrs

1 - b: decay factor = 29%

Amount of Ibuprofen left after 6 hours will be:

= 400 ×
`( 1 - (29)/(100) )^(6)`

= 400 ×
`( 1 - 0.29 )^(6)`

= 400 ×
`( 0.71 )^(6)`

= 400 × 0.1281

= 51.54 mg