50 mg dose of quinine is given to a patient with Malaria. Quinine leaves the body at a rate of 6% per hour. Find a formula for the amount, A (in mg), of quinine in the body hours after the dose is given. How long will it take for the body to only have 20 mg of quinine.

A. Formula for the amount of quinine in the body hours after dose is given:

A = 50(1-0.06h)
Where, A = Amount of quinine in the body (in mg), and h = Number of hours after dose is given.

50 mg dose of quinine is given to a patient with Malaria. Quinine leaves the body at a rate of 6% per hour. Find a formula for the amount, A (in mg), of quinine in the body hours after the dose is given. How long will it take for the body to only have 20 mg of quinine.

B. It will take approximately 8 hours and 20 minutes for the body to only have 20 mg of quinine, or 8.33 hrs rounded up to nearest tenth decimal place. This can be calculated by rearranging equation A as follows:

0.8A = 50(1-0.06h) => 0.8 × 20 = 50(1-0.06h) => 0.2=50(1-0.06h)=> h= 8 and 1/3 hrs

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