At 5:00 p. m., Vera took 400 milligrams of medicine to help relieve her headache.
The table below shows the amount of
medicine in her system at different
hours. If this pattern continues, find
the approximate amount of medicine in
her system when she wakes up at
7:00 a. m. the next morning. Round to the nearest tenth.
5:00pm - 400mg
6:00pm - 350mg
7:00pm - 306.25mg

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

x= 149. 24+7=31. 180-31=149

your welcome

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: