Question

Karey is prescribed 600 mg of a medication that decays at a rate of 40% per day, d, according to the equation m=600(0.6) d where m is the amount of medication remaining in his body. Noelle takes the same medication five days earlier. The number of milligrams of medication in Noelle’s body is about what percentage of the number of milligrams in Karey’s body at any time after they have both taken the medication? 3.0% 7.8% 12.9% 46.7%

Answer 1

Lets do the working for the amount of medication remaining in Noelle's body.

Day 1:

600 × 0.6 = 360

Day 3:

360 × 0.6 = 216

Day 4:

216 × 0.6 = 129.6

Day 5:

129.6 × 0.6 = 77.76

By the time Karey is taking the medication, Noelle only has 77.76 in her body.

This expressed as a percentage in relation to Karey's amount is :

77.76/600 × 100 = 12.96%

= 12.9%

Answer 2

7.8 is the correct answer!! i just took the test :)