linh drinks 2 cups of coffee each morning. each cup contains 150 milgrams of caffine. the human body can metabolize about 11% of any caffeine remaining in the blood stream each hour. to the nearest tenth, how many hours does it take until less than half the caffeine remains in linh's bloodstream
pls explain step by step! THANKS!!!
2007-01-22 15:05:26 · 8 answers · asked by Orange? 4 in Education & Reference ➔ Trivia
This looked interesting!
First you have to know how much caffine is in the bloodstream.
2 cups x 150 mg/cup = 300 mg
In the first hour, the body metabolizes 11% (this is the same as 0.11) of the caffine. 300 mg x 0.11 = 33mg (this is the amount REMOVED from the bloodstream)
How much is left after an hour? 300mg - 33mg = 267mg
An hour later, another 11% is metabolized (and here's where it gets tricky). If 267mg was left at the end of hour 1, this is the number you have to work with. 267mg x 0.11 = 29.37mg (the amount removed in hour 2.
How much is left in the bloodstream at the end of 2 hours?
267mg - 29.37mg = 237.63mg
See how this is done? Keep working in this format till the amount at the end of the hour is less than 1/2 (150 mg) is left in the blood. Don't round off any numbers till you get below 150. You should be able to work this from here!
2007-01-22 15:24:06 · answer #1 · answered by copperhead 7 · 1⤊ 0⤋
This doesn't exactly take a math genius.
2 cups of coffee = 150 mg * 2 = 300 mg
After 1 hour 300 mg * 11% = 267 mg
After 2 hours 267 mg * 11% = 237.63 mg
After 3 hours 237.63 * 11% = 211.49 mg
After 4 hours 211.49 * 11% = 188.22 mg
After 5 hours 188.22 * 11% = 167.52 mg
After 6 hours 167.52 * 11% = 149.09 mg
2007-01-22 15:22:16 · answer #2 · answered by Colin M 3 · 1⤊ 0⤋
Daddyspan is wrong because there is less caffeine to metabolize each hour, yes the answer is 6 hours
2007-01-22 21:08:47 · answer #3 · answered by Bill F 6 · 1⤊ 0⤋
4.6 hours, 2 cups = 300 mg caffine x 11%=33 per hour 4.6 hours x 33= 151.8 mg - 300mg= leaves 148.2mg in blood stream, less than half
2007-01-22 15:23:57 · answer #4 · answered by cactusjoe 2 · 0⤊ 2⤋
resolve for y 4x - 2y = -8 4x - 2y +2y= -8 +2y (upload 2y to the two factors) 4x = -8 + 2y 4x + 8 = -8 +2y + 8 (upload 8 to the two factors) 4x +8 = 2y 2x + 4 = y it is interior the type mx + b the place m is the slope and b is the y-intercept. hence slope = 2 y intercept = 4 Calculating x-intercept is easy. purely set y=0 so which you get 4x -2(0) = -8 4x = -8 x = -2
2016-11-01 01:25:47 · answer #5 · answered by ? 4 · 0⤊ 0⤋
149.09 milligrams after 6 hours
2007-01-22 17:54:24 · answer #6 · answered by Achintya s 2 · 1⤊ 0⤋
next time to come to school. pay attention to your teacher. stop bothering the people around you.
2 x 150 = a
a x 11% = b
try to figure out the rest it's really easy
2007-01-22 15:14:46 · answer #7 · answered by hurt 3 · 0⤊ 2⤋
The amount of caffine is irrelivant. 1.1% equals 6 minutes (one tenth of an hour) 50 /1.1% = 45.45 tenths of an hour or 4.6 hours until you have under 50% (rounded to the higher tenth to make it over 50% metabolized).
2007-01-22 15:50:40 · answer #8 · answered by daddyspanksalot 5 · 0⤊ 4⤋