College Freshmen The percentage, y , of college freshmen who entered college intending to major in general biology increased steadily from the year 2000 to the year 2014 and can be approximated by the linear equation y = .2 x + 4.1 where x represents the number of years since 2000. Thus x = 0 represents 2000, x = 1 represents 2001, and so on. ( Source: The American Freshman: National Norms .) a. What interpretation can be given to the y -intercept of the graph of the equation? b. In 2014, approximately what percent of college freshmen intended to major in general biology? c. In what year did approximately 5.5% of college freshmen intend to major in general biology?
College Freshmen The percentage, y , of college freshmen who entered college intending to major in general biology increased steadily from the year 2000 to the year 2014 and can be approximated by the linear equation y = .2 x + 4.1 where x represents the number of years since 2000. Thus x = 0 represents 2000, x = 1 represents 2001, and so on. ( Source: The American Freshman: National Norms .) a. What interpretation can be given to the y -intercept of the graph of the equation? b. In 2014, approximately what percent of college freshmen intended to major in general biology? c. In what year did approximately 5.5% of college freshmen intend to major in general biology?
Solution Summary: The author analyzes how the y-intercept of the graph shows the percentage of students who intended to major in general biology in the college x years after 2000.
College Freshmen The percentage, y, of college freshmen who entered college intending to major in general biology increased steadily from the year 2000 to the year 2014 and can be approximated by the linear equation
y
=
.2
x
+
4.1
where x represents the number of years since 2000. Thus
x
=
0
represents 2000,
x
=
1
represents 2001, and so on. (Source:The American Freshman: National Norms.)
a. What interpretation can be given to the y-intercept of the graph of the equation?
b. In 2014, approximately what percent of college freshmen intended to major in general biology?
c. In what year did approximately 5.5% of college freshmen intend to major in general biology?
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