Solve the Problem $\mathrm { I } ( \mathrm { t } ) = - 0.1 \mathrm { t } ^ { 2 } + 1.3 \mathrm { t }$

question 27

Multiple Choice

Solve the problem.
-The polynomial function $\mathrm { I } ( \mathrm { t } ) = - 0.1 \mathrm { t } ^ { 2 } + 1.3 \mathrm { t }$ represents the yearly income (or loss) from a real estate investment, where $t$ is time in years. After what year does income begin to decline?

• A) \(5.5 \mathrm { yr }\)
• B) \(6.5 \mathrm { yr }\)
• C) \(13 \mathrm { yr }\)
• D) \(8.67 \mathrm { yr }\)

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Definitions:

Complexity

The degree to which a project or task is complicated, often influenced by the number of interrelated components, variability, and uncertainty.

Positive Correlation

A relationship between two variables where an increase in one variable is associated with an increase in the other.

Assignable Causes

Sources of variation in a process or system that can be identified and usually eliminated, distinguished from random causes that are inherent in the system.

Production Environment

The setting where software and systems are deployed and operated for end-users in real-world scenarios, often contrasted with development or testing environments.