Concept explainers
OTHER APPLICATIONS
Child Mortality Rate The mortality rate for children under
a. Determine a linear equation that approximates the mortality rate in terms of time
b. If this trend continues, in what year will the mortality rate first drop to
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Calculus For The Life Sciences
- LIFE SCIENCE APPLICATIONS HIV Infection The time interval between a persons initial infection with HIV and that persons eventual development of AIDS symptoms is an important issue. The method of infection with HIV affects the time interval before AIDS develops. One study of HIV patients who were infected by intravenous drug use found that 17 of the patients had AIDS after 4 years and 33 had developed the disease after 7 years. The relationship between the time interval and the percentage of patients with AIDS can be modeled accurately with a linear equation. Source: Epidemiologic Review. a. Write a linear equation y=mt+b that models these data, using the ordered pairs (4,0.17) and (7,0.33). b. Use your equation from part a to predict the number of years before half of these patients will have AIDS.arrow_forwardNeurology The average weight of a male child’s brain is 970 grams at age 1 and 1270 grams at age 3. (a) Assuming that the relationship between brain weight y and age t is linear, write a linear model for the data. (b) What is the slope and what does it tell you about brain weight? (c) Use your model to estimate the average brain weight at age 2. (d) Use your school’s library, the Internet, or some other reference source to find the actual average brain weight at age 2. How close was your estimate? (e) (d) Do you think your model could be used to determine the average brain weight of an adult? Explain.arrow_forwardGlobal Warming In 1990, the Intergovernmental Panel on Climate Change predicted that the average temperature on Earth would rise 0.3C per decade in the absence of international controls on greenhouse emissions. Let t measure the time in years since 1970, when the average global temperature was 15C. Source: Science News. a. Find a linear equation giving the average global temperature in degrees Celsius in terms of t, the number of years since 1970. b. Scientists have estimated that the sea levels will rise by 65cm if the average global temperature rises to 19C. According to your answer to part a, when would this occur?arrow_forward
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