There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applications has risen linearly by roughly 150 per year. The number of applications f ( x ) is given by f ( x ) = 2000 + 150 x , where x is the number of years since 2010. a. Determine if the function g ( x ) = x − 2000 150 is the inverse of f . b. Interpret the meaning of function g in the context of this problem.
There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applications has risen linearly by roughly 150 per year. The number of applications f ( x ) is given by f ( x ) = 2000 + 150 x , where x is the number of years since 2010. a. Determine if the function g ( x ) = x − 2000 150 is the inverse of f . b. Interpret the meaning of function g in the context of this problem.
Solution Summary: The author explains that the function g(x)=x-2000150 is the inverse of the one-to-one function.
There were 2000 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applications has risen linearly by roughly 150 per year. The number of applications
f
(
x
)
is given by
f
(
x
)
=
2000
+
150
x
,
where
x
is the number of years since 2010.
a. Determine if the function
g
(
x
)
=
x
−
2000
150
is the inverse of f.
b. Interpret the meaning of function g in the context of this problem.
Problem #5
Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times.
a). How many ways result in 6 tails and 2 heads?
b). How many ways result in 2 tails and 6 heads?
c). Compare your answers to part (a) and (b) and explain in a few sentences why the
comparison makes sense.
A local company has a 6 person management team and 20 employees. The company needs to select 3 people from the management team and 7 employees to attend a regional meeting. How many different possibilities are there for the group that can be sent to the regional meeting?
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY