-Is the rate of elimination of caffeine from the body linear or exponential? Explain your reasoning...
-Is the rate of elimination of caffeine from the body linear or exponential? Explain your reasoning
-Suppose a person starts the day by drinking 3 cups of coffee containing 130 mg of caffeine each.
a. Let C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was
consumed. Write a function C(t) that expresses the amount of caffeine remaining in the body as a
function of time.
b.Determine how much caffeine will there be in this person’s body in 1 hour? 2 hours? 3 hours? Record
c. Rounding to the nearest hour, when will the caffeine be reduced to an amount that should no longer have any stimulant effect on the body? (Refer to the reading to determine what this amount typically is?
**please show work
C = mg of caffeine remaining in the body and let t = hours since the 390 mg of caffeine was
consumed.
Homework Answers
Add Answer to:
-Is the rate of elimination of caffeine from the body linear or
exponential? Explain your reasoning...
% of the amount of caffeine in the body is metabolize A typical cup of coffee contains mg of caff...
% of the amount of caffeine in the body is metabolize A typical cup of coffee contains mg of caffeine and every hour approximately and eliminate (a) Write C, the amount of caffeine in the body in mg as a function of time t, the number of hours since the coffee was consumed 2 Edit mg (b) How much caffeine is in the body after t = 10 hours assuming no other source of caffeine? Round your answer to two...
The half-life of caffeine in the human body is about 6.5 hours. A cup of coffee...
The half-life of caffeine in the human body is about 6.5 hours. A cup of coffee has about 105 mg of caffeine. a. Write an equation for the amount of caffeine in a person's body after drinking a cup of coffee? Let C be the milligrams of caffeine in the body after thours. b. How much caffeine will remain after 10 hours? mg c. How long until there are only 20 mg remaining? hours
Using Python: Assuming that: Caffeine is absorbed into the body immediately. Once absorbed, 20% is eliminated from the b...
Using Python: Assuming that: Caffeine is absorbed into the body immediately. Once absorbed, 20% is eliminated from the body each hour. Write a program that asks the user for the amount of coffee consumed, in milligrams (mg), and then compute (and output) the following: The number of hours required until there is less than half of the caffeine left in the body The amount of caffeine left in the body after 8 hours Then, assuming that the person drinks a...
can anyone solve a , b and c part 7 Chapter Task The Half-Life of Caffeine...
can anyone solve a , b and c part
7 Chapter Task The Half-Life of Caffeine Caffeine is a stimulant found in many products, such as coffee, tea, pop, and chocolate. When you drink a cup of tea or eat a chocolate bar, you ingest caffeine. Your body breaks down caffeine slowly. As with other drugs, caffeine has a half-life in the body. The half-life of caffeine in a typical nonsmoking adult is 5.5 h. Caffeine Content (mg) 250 mL...
A cup of green tea contains 32 mg of caffeine when you are using the tea...
A cup of green tea contains 32 mg of caffeine when you are using the tea leaves for the first time. A cup from the second brew contains 12 mg of caffeine, while a cup from the third brew contains only 4 mg of caffeine. Caffeine leaves the body at a continuous rate of about 17% per hour. Write a differential equation for the amount, C, of caffeine in the body at time t hours after drinking the green tea....
Please show all work neatly! :) Thank you! Directions: Show all work, and answer each question...
Please show all work neatly!
:) Thank you!
Directions: Show all work, and answer each question that is asked. Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. 1. Rylin drinks a cup of coffee every morming at 7:00 am. The amount of caffeine (in mg) in her body as a result of drinking this coffee is given by the function A(t) 130 where t is time in hours...
can anyone help me as soon as possible second picture is for part D of the...
can anyone help me as soon as possible second picture is for
part D of the question
7 Chapter Task The Half-Life of Caffeine Caffeine is a stimulant found in many products, such as coffee, tea, pop,. and chocolate. When you drink a cup of ea or cat a chocolate bar, you ingest caffeine. Your body breaks down caffeine slowly. As with other drugs. caffeine has a halflife in the body. The half-life of caffeine in a typical nonsmoking adult...
time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the...
time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the medication in the bloodstream at various times after taking the medication. The table shows the Time since taking Amount remaining 10 0 3.30 1.09 0.36 0.12 12 16 a. What type of function might be an appropriate model for these data and why? b. Use...
% of the amount of caffeine in the body is metabolize A typical cup of coffee contains mg of caffeine and every hour approximately and eliminate (a) Write C, the amount of caffeine in the body in mg as a function of time t, the number of hours since the coffee was consumed 2 Edit mg (b) How much caffeine is in the body after t = 10 hours assuming no other source of caffeine? Round your answer to two...
The half-life of caffeine in the human body is about 6.5 hours. A cup of coffee has about 105 mg of caffeine. a. Write an equation for the amount of caffeine in a person's body after drinking a cup of coffee? Let C be the milligrams of caffeine in the body after thours. b. How much caffeine will remain after 10 hours? mg c. How long until there are only 20 mg remaining? hours
can anyone solve a , b and c part
7 Chapter Task The Half-Life of Caffeine Caffeine is a stimulant found in many products, such as coffee, tea, pop, and chocolate. When you drink a cup of tea or eat a chocolate bar, you ingest caffeine. Your body breaks down caffeine slowly. As with other drugs, caffeine has a half-life in the body. The half-life of caffeine in a typical nonsmoking adult is 5.5 h. Caffeine Content (mg) 250 mL...
A cup of green tea contains 32 mg of caffeine when you are using the tea leaves for the first time. A cup from the second brew contains 12 mg of caffeine, while a cup from the third brew contains only 4 mg of caffeine. Caffeine leaves the body at a continuous rate of about 17% per hour. Write a differential equation for the amount, C, of caffeine in the body at time t hours after drinking the green tea....
Please show all work neatly!
:) Thank you!
Directions: Show all work, and answer each question that is asked. Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. 1. Rylin drinks a cup of coffee every morming at 7:00 am. The amount of caffeine (in mg) in her body as a result of drinking this coffee is given by the function A(t) 130 where t is time in hours...
can anyone help me as soon as possible second picture is for
part D of the question
7 Chapter Task The Half-Life of Caffeine Caffeine is a stimulant found in many products, such as coffee, tea, pop,. and chocolate. When you drink a cup of ea or cat a chocolate bar, you ingest caffeine. Your body breaks down caffeine slowly. As with other drugs. caffeine has a halflife in the body. The half-life of caffeine in a typical nonsmoking adult...
time does not 1. When you take a dose of medicine, the amount that remains in your bloodstream over remain constant. One popular allergy medication requires a daily dose of 10 mg. amount of the medication in the bloodstream at various times after taking the medication. The table shows the Time since taking Amount remaining 10 0 3.30 1.09 0.36 0.12 12 16 a. What type of function might be an appropriate model for these data and why? b. Use...
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