Question

At 5:00 p.m., Vera took 400 milligrams

Answer 1

Answer:

61.68 mg

Step-by-step explanation:

Given the table :

5:00pm - 400mg

6:00pm - 350mg

7:00pm - 306.25mg

First we obtain the percentage rate at which the drug leaves her system per hour :

Take between 5-6 pm

((400 - 350) / 400) * 100%

(50 / 400) * 100%

0.125 * 100%

= 12.5%

.we can use the exponential function :

A = P(1 - r)^t

r = rate, t = time (hours) ; P= initial amount ; A = final amount

Mg of medicine left when she wakes up at 7:00 am

t = 7:00am - 5:00 pm = 14 hours

P = 400 mg

r = 0.125

A = 400(1 - 0.125)^14

A = 400 * 0.1542100

A = 61.68402913

About 61.68 mg