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) $C ( t ) = 56 + 372 t - 144 t$

Question

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) $C ( t ) = 56 + 372 t - 144 t$

Quizplus · Accepted Answer

To express $C$ as a function of $t$, substitute $x = 12t$ into the given cost function $C(x) = 56 + 31x - x^2$, resulting in $C(t) = 56 + 31(12t) - (12t)^2 = 56 + 372t - 144t^2$.

A New Chocolate Company Is Estimating How Many Candy Bars C(x)=56+31x−x2C ( x ) = 56 + 31 x - x ^ { 2 }C(x)=56+31x−x2

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