Solve the Problem $f ( x ) = a x ^ { 2 } + b x + c$

question 244

Multiple Choice

Solve the problem.
-The following table shows the per capita cumquat consumption, in pounds, in the Virgin Islands i three different years. Find a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ that fits this data. Using this function, what would you predict the per capita cumquat consumption to be in year 11?

$\begin{array}{c|c}\text { Year } & \begin{array}{c}\text { Cumquat consumption } \\\text { (in pounds) }\end{array} \\\hline 0 & 12.4 \\\hline 5 & 23.9 \\\hline 9 & 43.9\end{array}$
n 64)

• A) 55.2 lb
• B) 59 lb
• C) 57.5 lb
• D) 57.9 lb

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Definitions:

Independent Variable

In an experimental setting, the variable that is manipulated or changed by the researcher to explore its effects on a dependent variable.

Experimental Group

A group in a scientific study that receives the treatment or condition being tested, as opposed to a control group, which does not.

Control Group

In experimental research, a group of subjects that does not receive the treatment being tested, used as a benchmark to measure how other subjects do.

Warm Room Temperature

A temperature setting in an indoor environment that feels comfortably warm to the majority of people, typically around 68 to 77 degrees Fahrenheit (20 to 25 degrees Celsius).