A New Chocolate Company Is Estimating How Many Candy Bars $C ( x ) = 56 + 31 x - x ^ { 2 }$

question 318

Multiple Choice

A new chocolate company is estimating how many candy bars per week college students will consume of their line of
products. The graph shows the probable number of candy bars students (age 18-22) will consume from year 0 to year 10.
B(x) gives the number of candy bars for boys, G(x) gives the number of candy bars for girls, and T(x) gives the total
number for both groups. Use the graph to answer the question.
-The cost of manufacturing clocks is given by $C ( x ) = 56 + 31 x - x ^ { 2 }$ . Also, it is known that in thours the number of clocks that can be produced is given by $x = 12 t$ , where $1 \leq t \leq 12$ . Express $C$ as a function of $t$ .

• A) \(C ( t ) = 56 + 31 t + t ^ { 2 }\)
• B) \(C ( t ) = 56 + 372 t - 144 t ^ { 2 }\)
• C) \(C ( t ) = 56 + 31 \mathrm { t } - 12\)
• D) \(C ( t ) = 56 + 372 t - 144 t\)

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Definitions:

Mean

The arithmetic average of a set of numbers, calculated by dividing the sum of the values by the number of values.

Variance

A measure of how much values in a dataset differ from the mean, indicating the distribution's spread.

Standard Deviation

The measure of the dispersion of a set of values relative to its mean, indicating how spread out the values are.

Standard Normal Curve

A bell-shaped curve that is symmetric about the mean, representing the distribution of a standard normal variable with a mean of zero and a variance of one.