A Florist Is Creating 10 Centerpieces for the Tables at a Wedding

question 57

Multiple Choice

A florist is creating 10 centerpieces for the tables at a wedding reception.Roses cost $2.50 each,lilies cost $8 each,and irises cost $4 each.The customer has a budget of $300 allocated for the centerpieces and wants each centerpiece to contain 12 flowers,with twice as many roses as the number of irises and lilies combined. ​
Write a system of linear equations that represents the situation.
​

• A) \[\left\{ \begin{array} { l l }
• 2.5 r - 8 l - 4 i & = 300 \\
• - r - 2 l - 2 i & = 0 \\
• r - l - i & = 120
• \end{array} \right.\]
• B)​ \[\left\{ \begin{array} { l l }
• 2.5 r + 8 l + 4 i & = 300 \\
• r + 2 l + 2 i & = 0 \\
• r + l + i & = 120
• \end{array} \right.\]
• C)​ \[\left\{ \begin{array} { l l }
• 2.5 r + 8 l + 4 i & = 300 \\
• - r + 2 l + 2 i & = 0 \\
• r + l + i & = 120
• \end{array} \right.\]
• D)​ \[\left\{ \begin{array} { l l }
• 2.5 r - 8 l + 4 i & = 300 \\
• - r + 2 l + 2 i & = 0 \\
• r + l + i & = 120
• \end{array} \right.\]
• E)​ \[\left\{ \begin{array} { l l }
• 2.5 r + 8 l - 4 i & = 300 \\
• - r + 2 l + 2 i & = 0 \\
• r + l + i & = 120
• \end{array} \right.\]

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Definitions:

Self-Reports

Self-reports involve individuals providing information or feedback about themselves, typically through questionnaires or interviews.

Case Studies

An in-depth analysis of a specific situation, group, individual, or event over a period of time, used as a research method in psychology.

Naturalistic Observations

A study technique where individuals are monitored in their natural settings without any intervention by the researcher.

Social Desirability Bias

The tendency of respondents to answer questions in a manner that will be viewed favorably by others, often leading to inaccuracies in surveys or research.