(4) Just after taking an aspirin, a patient has 300 mg of the drug in their bloodstream. After six hours, only 75 mg remain. (a) Find an exponential model, of the form y= A(b') for the amount of aspirin in the bloodstream after t hours. (b) Based on your model in part (a), how much aspirin will there be in the bloodstream after 5 hours. (c) Based on your model in part (a), find to the nearest 0.1 hour, the time it will take for the amount of aspirin in the bloodstream to decrease to 10 mg.

(4) Just after taking an aspirin, a patient has 300 mg of the drug in their bloodstream. After six hours, only 75 mg remain. (a) Find an exponential model, of the form y= A(b') for the amount of aspirin in the bloodstream after t hours. (b) Based on your model in part (a), how much aspirin will there be in the bloodstream after 5 hours. (c) Based on your model in part (a), find to the nearest 0.1 hour, the time it will take for the amount of aspirin in the bloodstream to decrease to 10 mg.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: A tank contains 1060 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the…

A: I have explained everything with in the solution. Please go through that.

Q: At time t = 0, a tank contains 30 oz of salt dissolved in 100 gallons of water. Then brine…

A: At time t=0, a tank contains 30 oz of salt dissolved in 100 gallons of water. Then brine containing…

Q: A bacteria culture starts with 880 bacteria and grows at a rate proportional to its size. After 3…

A: Given: A bacteria culture starts with 880 bacteria and grows at a rate proportional to its size.…

Q: 1986, the Chernobyl nuclear power plant meltdown released Cesium-137 into the urrounding area,…

A: Given query is to find the time taken to reach the amount to .25 kg.

Q: A tank contains 1380 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the…

Q: A bacteria culture starts with 560 bacteria and grows at a rate proportional to its size. After 4…

A: (a) From the given information, the initial size of the bacteria is N0=560. It is known that, the…

Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: Model the given problem dpdt=kp if p is the present number of bacteria integrate it on both sides…

Q: An evergreen nursery usually sells a certain shrub after 6 years if growth and shaping. The growth…

Q: Initially 50 grams of radioactive substance was present. After 10 hours the mass had decreased by…

A: The rate of change of amount A with respect to time t can be denoted by dAdt. If x is directly…

Q: Scientists are calculating how the mass of a potato changes in a particular solution, due to water…

Q: Initially there was 80 milligrams of radioactive substance present. After an 8 hour period the mass…

A: From the differential equation from the given information. dPdt=kPdPP=kdt Here, the amount of…

Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Question

Just after taking an aspirin, a patient has 300 mg of the drug in their
bloodstream. After six hours, only 75 mg remain.
(4)
(a)
Find an exponential model, of the form y= A(b') for the amount of
aspirin in the bloodstream after t hours.
(b)
Based on your model in part (a), how much aspirin will there be in the
bloodstream after 5 hours.
(c)
Based on your model in part (a), find to the nearest 0.1 hour, the time
it will take for the amount of aspirin in the bloodstream to decrease to
10 mg.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Transcendental Expression$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

A tank contains 2100 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the tank at the rate 4 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (a) How much sugar is in the tank at the begining? y(0) = (kg) (b) Find the amount of sugar after t minutes. y(t) = (kg) (c) As t becomes large, what value is y(t) approaching? In other words, calculate the following limit. lim y(t) = (kg) 00+7
Initially 53 grams of radioactive substance was present. After 6 hours the mass had decreased by 6%. If the rate of decay is proportional to the amount of the substance present at a time t, find the amount remaining after 82 hours.
Please help and show how you came up with your differential
According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate continues, the model P(t) = 304 · (1.011)* - represents the population P (in millions of people) in year t. According to the model, when will the population be 407 million people? Be sure to round your answer to the nearest whole year. Year
According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate continues, the model t- 2008 P(t) = 304 · (1.011)' represents the population P (in millions of people) in year t. According to the model, when will the population be 442 million people? Be sure to round your answer to the nearest whole year. Year
Initially 47 grams of radioactive substance was present. After 10 hours the mass had decreased by 10%. If the rate of decay is proportional to the amount of the substance present at a time t, find the amount remaining after 60 hours.
Four hundred grams of a radioactive material decays according to the formula A = 400(2/3)^t, where t is measured in years. Find the amount present in 10 years. Round to the nearest one-tenth of a gram.
(c) Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially, there are 250 strands of the bacteria in the solution which grows to 800 strands after seven hours. Find (a) an expression for the approximate number of strands in the culture at any time t. (b) the time needed for the bacteria to grow to 1600 strands.
A tank contains 7070 kg of salt and 10001000 L of water. A solution of a concentration 0.035 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate.(a) What is the concentration of our solution in the tank initially?(b) Find the amount of salt in the tank after 2.5 hours.(c) Find the concentration of salt in the solution in the tank as time approaches infinity.