Solve the Problem $y = 2.62 x + 0.22$ $y = 5.71 x + 0.22$

question 102

Multiple Choice

Solve the problem.
-A company's expenses included many factors. In 2012, travel costs were 2.62% of the expense budget, increasing by 0.22% of the total expense budget per year. In 2012, office supplies were 5.71% of the expense budget, increasing by 0.05% of the total expense budget per year. Write a system of equations with two functions. Write one function that models the cost of travel as a percentage of the total expense budget x years after 2012, and another function that models the cost of office supplies as a percentage of the total expense budget x years after 2012.

• A) \(y = 2.62 x + 0.22\)
• \(y = 5.71 x + 0.22\)
• B) \(y = - 0.22 x + 2.62\)
• \(y = - 0.05 x + 5.71\)
• C) \(y = 0.22 x\)
• \(y = 0.05 x\)
• D) \(y = 0.22 x + 2.62\)
• \(y = 0.05 x + 5.71\)

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Definitions:

Psychological Inconsistency

The state of holding conflicting cognitions (e.g., beliefs, attitudes) simultaneously, which can lead to discomfort and attempts to resolve the contradiction.

Induction

A logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion.

Deduction

A logical process wherein a conclusion follows necessarily from the premises presented, if the premises are true, the conclusion must also be true.

Theory of Planned Behavior

A psychological theory that links beliefs and behavior, suggesting that an individual's behavioral intentions are shaped by their attitudes, subjective norms, and perceived control over the behavior.