Posted by jam on Saturday, May 18, 2013 at 7:22pm.
In 1970, the total enrollment in public universities and colleges in a country was 5.1 million students. By 2004, enrollment had risen to 14.3 million students. Assume enrollment can be modeled by exponential growth.
(a) Estimate the total enrollments in 1980, 1990, and 2000. (Round your answers to one decimal place.)
1980___ million
1990___ million
2000___ million
(b) How many years after 1970 until the enrollment doubles from the 2004 figure? (Round your answer to one decimal place.)
____ years
(c) By what percent is the enrollment increasing each year? (Round your answer to two decimal places.)
____ %

Exponential modelling  MathMate, Sunday, May 19, 2013 at 1:37pm
Let the mathematical model be
f(x)=ax^b
where x=years past 1970.
f(x)=population in millions
Note: much better accuracy is obtained by shifting the origin to 1970, the closest possible.
Substituting given data for 1970:
5.1=ax^0=a
so
f(x)=5.1x^b
For 2004,
14.3=5.1(34^(b))
or
b=log(14.3/5.1)/log(34)
=.292374812
The complete model is then
f(x)=5.1x^0.292374812
Substitute x=(19801970)=10
to find the estimated population for 1980, etc.
Answer This Question
Related Questions
 calculus  In 1970, the total enrollment in public universities and colleges in ...
 calculus  please help me Asap In 1970, the total enrollment in public ...
 Math  A university had an enrollment of 8500 students in the tear 1995. Each ...
 Math  Teaneck High had an enrollment of 11040 in 1985 and an enrollment of ...
 algebra  The projected number of men and women enrolled in US colleges, in ...
 algebra 2  Teaneck High had an enrollment of 11050 in 1990 and an enrollment of...
 Math  A school had 900 students at the start of a school year. If there is an ...
 math  A school had 900 students at the start of a school year. If there is an ...
 math  A school had 900 students at the start of a school year. If there is an ...
 Math  Could someone answer this so I understand it. Thanks The projected rate ...
More Related Questions