It has been observed that there has been an increase in the proportion of medical research papers that use the word “novel” in the title or abstract, and that this proportion can be accurately modeled by the function

where x is the number of years since 1970.

a. Find p(40)

b. If this phenomenon continues, estimate the year in which every medical article will contain the word “novel” in its title or abstract.

c. Estimate the rate of increase in the proportion of medical papers using this word in the year 2010.

d. Explain some factors that may be contributing to researchers using this word.

Transcribed Image Text:

p(x) = 0.001131e0.1268.x