Question 1

Solve the problem.
-The cost of manufacturing clocks is given by $C ( x ) = 54 + 30 x - x ^ { 2 }$. Also, it is known that in $t$ hours the number of clocks that can be produced is given by $x = 5 \mathrm { t }$, where $1 \leq t \leq 12$. Express $\mathrm { C }$ as a function of $\mathrm { t }$.
A) $C ( t ) = 54 + 150 t - 25 t$
B) $C ( t ) = 54 + 30 t - 5$
C) $C ( t ) = 54 + 30 t + t ^ { 2 }$
D) $C ( t ) = 54 + 150 t - 25 t ^ { 2 }$

Accepted Answer

To express $C$ as a function of $t$, substitute $x = 5t$ into the given function $C(x) = 54 + 30x - x^2$, resulting in $C(t) = 54 + 30(5t) - (5t)^2 = 54 + 150t - 25t^2$.

Question 2

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. 
-Use the slopes of the line segments to decide in which period (0-5 or 5-10) the number of candy bars per week increased more rapidly.
A) 0-5
B) 5-10
C) The number of candy bars increased at the same rate in both periods

Accepted Answer

The answer of A new chocolate company is estimating how...

Question 3

Solve the problem.
-The radius $\mathrm { r }$ of a circle of known area $\mathrm { A }$ is given by $\mathrm { r } = \sqrt { \mathrm { A } / \pi }$, where $\pi \approx 3.1416$. Find the radius
A) $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.86 \mathrm { ft }$
B) $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.80 \mathrm { sq } \mathrm { ft }$
C) $\mathrm { r } = 1.96 \mathrm { ft } , \mathrm { C } = 12.32 \mathrm { ft }$
D) $\mathrm { r } = 1.40 \mathrm { ft } , \mathrm { C } = 8.80 \mathrm { ft }$

Accepted Answer

The radius $ r = \sqrt{A/\pi} $ is correctly calculated as 1.40 ft, and the circumference $ C = 2\pi r $ is approximately 8.80 ft.

Question 4

Solve the problem.
-The volume of water added to a circular drum of radius $r$ is given by $V _ { W } = 20 t$, where $V _ { W }$ is volume in $\mathrm { cu } \mathrm {} \mathrm { ft }$ and $\mathrm { t }$ is time in sec. Find the depth of water in a drum of radius $4 \mathrm { ft }$ after adding water for $10 \mathrm { sec }$. (Round result to one decimal place.)
A) $12.6 \mathrm { ft }$
B) $4.0 \mathrm { ft }$
C) $8.0 \mathrm { ft }$
D) $2.0 \mathrm { ft }$

Accepted Answer

The answer of Solve the problem.
-The volume of water added...

Question 5

Solve the problem.
-A furniture store buys 40 footstools from a distributor at a cost of $190 each plus an overhead charge of $20 per order. The retail markup is 25% on the total price paid. Find the profit on the sale
Of one footstool.
A) $4763.00
B) $47.50
C) $47.38
D) $47.63

Accepted Answer

The total cost for 40 footstools is 40 * $190 + $20 = $7600. The cost per footstool is $7600 / 40 = $190.50. The retail price with a 25% markup is $190.50 * 1.25 = $238.125. The profit per footstool is $238.125 - $190.50 = $47.625, which rounds to $47.63.

Quiz 2: Graphs and Functions

Solve the problem. -The cost of manufacturing clocks is given by $C ( x ) = 54 + 30 x - x ^ { 2 }$ . Also, it is known that in $t$ hours the number of clocks that can be produced is given by $x = 5 \mathrm { t }$ , where $1 \leq t \leq 12$ . Express $\mathrm { C }$ as a function of $\mathrm { t }$ .

Solve the problem. -The radius $\mathrm { r }$ of a circle of known area $\mathrm { A }$ is given by $\mathrm { r } = \sqrt { \mathrm { A } / \pi }$ , where $\pi \approx 3.1416$ . Find the radius

Solve the problem. -A furniture store buys 40 footstools from a distributor at a cost of $190 each plus an overhead charge of $20 per order. The retail markup is 25% on the total price paid. Find the profit on the sale Of one footstool.

Quiz 2: Graphs and Functions

Solve the problem. -The radius r\mathrm { r }r of a circle of known area A\mathrm { A }A is given by r=A/π\mathrm { r } = \sqrt { \mathrm { A } / \pi }r=A/π​ , where π≈3.1416\pi \approx 3.1416π≈3.1416 . Find the radius

Solve the problem. -A furniture store buys 40 footstools from a distributor at a cost of $190 each plus an overhead charge of $20 per order. The retail markup is 25% on the total price paid. Find the profit on the sale Of one footstool.

Solve the problem. -The radius $\mathrm { r }$ of a circle of known area $\mathrm { A }$ is given by $\mathrm { r } = \sqrt { \mathrm { A } / \pi }$ , where $\pi \approx 3.1416$ . Find the radius