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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Definitions:

External Failure Costs

Costs that occur when products fail to meet quality standards after being delivered to customers, including returns, repairs, and warranty claims.

Opportunity Costs

The financial impact of skipping the immediate next favorable choice in the process of making a decision.

Net Profit Margin

A financial ratio representing the percentage of revenue that remains as profit after all expenses have been deducted.

Performance Measure

Metrics or indicators used to assess, compare, and track the performance or efficiency of different aspects of an organization.