Write a System of Linear Equations in Three Variables, and Then

question 23

Multiple Choice

Write a system of linear equations in three variables, and then use matrices to solve the system.
-There were approximately 100,000 vehicles sold at a particular dealership last year. The dealer tracks sales by age group for marketing purposes. The percentage of 36- to 59-year-old buyers and the percentage of
Buyers 60 and older combined exceeds the percentage of buyers 35 and younger by 38%. If the percentage
Of buyers in the oldest group is doubled, it is 24% less than the percentage of users in the middle group.
Find the percentage of buyers in each of the three age groups.

• A)31% 35 and younger; 54% 36-59 year olds; 15% 60 and older
• B)33% 35 and younger; 51% 36-59 year olds; 16% 60 and older
• C)25% 35 and younger; 56% 36-59 year olds; 19% 60 and older
• D)15% 35 and younger; 54% 36-59 year olds; 31% 60 and older

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Definitions:

Positive Reinforcement

A method in behaviorism used to increase the likelihood of a desired behavior by following it with the addition of a positive stimulus.

Outspoken

Someone characterized by the willingness to express opinions and thoughts openly and without reservation.

Psychodynamic Theorist

A psychologist or theorist who focuses on understanding the influence of the unconscious mind on behavior and mental processes, following principles initially proposed by Freud.

Carl Rogers

An influential American psychologist who founded the humanistic approach to psychology, emphasizing the importance of free will, self-actualization, and the concept of the self.