Solve the Problem $g ( x ) = \frac { x - 2,300 } { 170 }$

question 230

Multiple Choice

Solve the problem.
-There were 2,300 applicants for enrollment to the freshman class at a small college in the year 2010. The number of applicants has risen linearly by roughly 170 per year. The number of applications f(x) is given by f (x) = 2,300 + 170x, where x is the number of years since 2010.
a. Determine if the function $g ( x ) = \frac { x - 2,300 } { 170 }$ is the inverse of f.
b. Interpret the meaning of function g in the context of the problem.

• A) a. Yes
• b. The value g(x) represents the number of years since the year 2010 based on the number of Applicants to the freshman class, x.
• B) a. No
• b. The value g(x) represents the number of applicants to the freshman class based on the number Of years since 2010, x.
• C) a. No
• b. The value g(x) represents the number of years since the year 2010 based on the number of Applicants to the freshman class, x.
• D) a. Yes
• b. The value g(x) represents the number of applicants to the freshman class based on the number Of years since 2010, x.

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