math

After a dog or cat is given a preventive flea medicine, the medicine begins to break down in the animal’s bloodstream. With each passing hour, there is less active medicine in the blood.

a. Complete the table and then draw a graph to show the amount of active medicine in a dog or cat’s bloodstream each hour for 6 hours after a 20-milligram dose.

This is what is given in the table:
Time since dose (hours) Active medicine in blood (milligrams)
0 20
1 10


This is how I completed the table:
Time since dose (hours) Active medicine in blood (milligrams)
0 20
1 10
2 5
3 2.5
4 1.25
5 0.625
6 0.3125


b. Write an equation to model the relationship between the number of hours since the dose was administered, h, and the miligrams of active medicine, m.

Since my graph shows this is exponential decay, since it's losing medicine each hour, I wrote my equation as:

m = 20(.5)^h

c. c. How much active medicine would be in the animal’s bloodstream after 10 hours?

0.0195 mg


Thank you for checking my answers for me.

asked by Carly
  1. Your answers are correct : )

    posted by MsPi_3.14159265

Respond to this Question

First Name

Your Response

Similar Questions

  1. veterinary medicine

    A pet owner accidentally applies 2.5 ml of a dog flea product containing 45% permethrin to a 15 lb cat. What is the dosage this cat received?
  2. Algebra 2

    For a certain type of hay fever, Medicine H has a 30% probability of working. In which distributions does the variable X have a binomial distribution? Select each correct answer. When the medicine is tried with six patients, X is
  3. ALGEBRA 2

    For a certain type of hay fever, Medicine H has a 30% probability of working. In which distributions does the variable X have a binomial distribution? Select each correct answer. When the medicine is tried with six patients, X is
  4. Algebra 2

    For a certain type of hay fever, Medicine H has a 30% probability of working. In which distributions does the variable X have a binomial distribution? Select each correct answer. When the medicine is tried with six patients, X is
  5. Statistics - Can anybody help me?

    A Particular pain relieving medicine has a decay rate of 24% an hour. A patient was given a dose of the medicine 5 hours ago and there is currently 74mg of the medicine in the patients bloodstream. Q: What was the Origional dose
  6. Statistics

    A Particular pain relieving medicine has a decay rate of 24% an hour. A patient was given a dose of the medicine 5 hours ago and there is currently 74mg of the medicine in the patients bloodstream. Q: What was the Origional dose
  7. Health

    What information would you have difficulty finding on a prescription bottle? a) how many times a day to take it b) the strength of the medicine c) The name of your doctor who prescribed the medicine *** d) the reason you're taking
  8. Math(HELP!)

    The concentration of a medicine, f(x) in parts per million, in a patient's blood X hours after the medicine is taken is given by the function f(x)= -x^4 +12x^3 -58x^2 +132x. 1.) How many hours after the medicine is taken will it
  9. Math

    Marti works Monday through Saturday, so she has a day off once every 7 days. She needs to give her dog some medicine every 5 days. How often does she give her dog medicine on her day off?
  10. Pre Calc

    1)A particular pain relieving medicine has a decay rate of 10 % per hour. A patient was given a dose of the medicine 7 hours ago and there is currently 68 milligrams of the medicine in the patients bloodstream. 2)How long will the

More Similar Questions