← Grades 1 x Algebra x C A bacter x Sy sqrt((x-2 x Exponer X H ENGLI❘b Passwo x M Looking x > Schoolo x b Search x → C mymail.lausd.net bookmarks Ims.lausd.net/common-assessment-delivery/start/7334418870?action=onresume&submissionId=1414951919 b a Food & Drink Menu... Santee Bell Schedul... Extension Panel Desmos | Scientific... Profile picture for I... >>> All Bookmarks The graph shows the amount of a medicine m, in milligram, remaining in a patient's body h hours after receiving an injection. The amount of the medicine decreases exponentially. m (mg of drug in body) (0,270) 250 200 38588 150 100 (1.5,80) 0.5 1 1.5 2 2.5 h (hours since injection) a. By what factor did the medicine decrease in the first hour and a half? Explain how you know. b. By what factor did the medicine decrease in the first half hour? What about in the first hour? Explain how you know. c. Write an equation relating m, the number of milligram of the drug in the patient's body, and h, the number of hours since the injection. (a) the medicine decreases by a factor of 1.5,80 because it is stated on the graph. (b) the medicine decreases by a factor of 0.5,270 in the first half hour (c)m=100(0.8), where 100 is the initial amount injected in milligrams and 0.8 is the decay rate per hour. Desk 1 X Jun 10 10:02 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 76E

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Transcribed Image Text:← Grades 1 x Algebra x C A bacter x Sy sqrt((x-2 x Exponer X H ENGLI❘b Passwo x M Looking x > Schoolo x b Search x → C mymail.lausd.net bookmarks Ims.lausd.net/common-assessment-delivery/start/7334418870?action=onresume&submissionId=1414951919 b a Food & Drink Menu... Santee Bell Schedul... Extension Panel Desmos | Scientific... Profile picture for I... >>> All Bookmarks The graph shows the amount of a medicine m, in milligram, remaining in a patient's body h hours after receiving an injection. The amount of the medicine decreases exponentially. m (mg of drug in body) (0,270) 250 200 38588 150 100 (1.5,80) 0.5 1 1.5 2 2.5 h (hours since injection) a. By what factor did the medicine decrease in the first hour and a half? Explain how you know. b. By what factor did the medicine decrease in the first half hour? What about in the first hour? Explain how you know. c. Write an equation relating m, the number of milligram of the drug in the patient's body, and h, the number of hours since the injection. (a) the medicine decreases by a factor of 1.5,80 because it is stated on the graph. (b) the medicine decreases by a factor of 0.5,270 in the first half hour (c)m=100(0.8), where 100 is the initial amount injected in milligrams and 0.8 is the decay rate per hour. Desk 1 X Jun 10 10:02 0

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