her first day in a hospital, Kiri receives u₁ milligrams (mg) of a therapeutic drug. The amount of the drug Kiri receives increases by the same amount, d, each day. On the seventh day, she receives 21 mg of the drug, and on the eleventh day she receives 29 mg. Kiri receives the drug for 20 days. Ted is also in a hospital and on his first day he receives a 20 mg antibiotic injection. The amount of the antibiotic Ted receives decreases by 50% each day. On the second day, Ted receives a 10 mg antibiotic injection, on the third day he receives 5mg, and so on.
her first day in a hospital, Kiri receives u₁ milligrams (mg) of a therapeutic drug. The amount of the drug Kiri receives increases by the same amount, d, each day. On the seventh day, she receives 21 mg of the drug, and on the eleventh day she receives 29 mg. Kiri receives the drug for 20 days. Ted is also in a hospital and on his first day he receives a 20 mg antibiotic injection. The amount of the antibiotic Ted receives decreases by 50% each day. On the second day, Ted receives a 10 mg antibiotic injection, on the third day he receives 5mg, and so on.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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Transcribed Image Text:1) On her first day in a hospital, Kiri receives u₁ milligrams (mg) of a therapeutic drug. The
amount of the drug Kiri receives increases by the same amount, d, each day. On the seventh day,
she receives 21 mg of the drug, and on the eleventh day she receives 29 mg. Kiri receives the
drug for 20 days.
Ted is also in a hospital and on his first day he receives a 20 mg antibiotic injection. The amount
of the antibiotic Ted receives decreases by 50% each day. On the second day, Ted receives a 10
mg antibiotic injection, on the third day he receives 5mg, and so on.
a)
i) Write down an equation, in terms of u₁ and d, for the amount
of the drug that she receives on the seventh day.
ii) Write down an equation, in terms of u₁ and d, for the amount
of the drug that she receives on the eleventh day.
b) Write down the value of d and the value of u₁.
c) Calculate the total amount of the drug, in mg, that she receives.
d)
i) Find the amount of antibiotic, in mg, that Ted receives on the fifth
day.
ii) The daily amount of antibiotic Ted receives will first be less than
0.06 mg on the kth day. Find the value of k.
iii) Hence find the total amount of antibiotic, in mg, that Ted receives
during the first k days.
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