Question

1. the cost of manufacturing a single dvd is represented by: $c(x) = 0.35x + 1.75$. what is the cost of manufacturing 12 dvds?

f $1.65$
g $2.10$
h $3.75$
j $5.95$
k $7.25$

1. what is the slope of the line perpendicular to a line with the equation $ax + by = c$?

f $\frac{b}{a}$
g $-\frac{b}{a}$
h $\frac{c}{a}$
j $-\frac{a}{b}$
k $b^2 - 4ac$

1. which expression below makes the statement $3x + 5 \leq 5x - 3$ true?

f $x \leq -2$
g $x \geq -4$
h $x \geq 2$
j $x \leq 8$
k $x \geq 4$

1. if 18% of the senior class of 200 students were absent from school, how many students were present?

f 38
g 120
h 136
j 164
k 182

1. what is the slope of the line connecting the points $(2, -2)$ and $(3, -2)$?

f undefined
g 1
h 0
j -1
k -4

1. $4(x - 8) - (2x + 7) = $?

f $2x - 25$
g $4x + 25$
h $2x + 25$
j $4x - 39$
k $2x - 39$

1. simplify $2a - 3b + 8b - 12a + 3a - b$

a. $-7a + 4b$
b. $-7a + 5b$
c. $-7a + 6b$
d. $17a + 4b$
e. $17a + 6b$

1. what is the slope of a line that passes through $(3, -2)$ and $(-7, 3)$?

a. 5
b. 10
c. $\frac{1}{2}$
d. $-\frac{1}{2}$
e. -10

Explanation:

Step1: Substitute $x=12$ into $C(x)$

$C(12)=0.35(12)+1.75$

Step2: Calculate the product

$0.35(12)=4.2$

Step3: Sum the values

$4.2+1.75=5.95$

Step1: Rewrite line in slope-intercept form

$by=-ax+c \implies y=-\frac{a}{b}x+\frac{c}{b}$

Step2: Find perpendicular slope (negative reciprocal)

$\text{Perpendicular slope} = \frac{b}{a}$

Step1: Rearrange terms to isolate $x$

$3x+5\leq5x-3 \implies 5+3\leq5x-3x$

Step2: Simplify both sides

$8\leq2x$

Step3: Solve for $x$

$x\geq4$

Step1: Calculate absent student count

$\text{Absent} = 0.18\times200=36$

Step2: Subtract from total to find present

$\text{Present}=200-36=164$

Answer:

J. $\$5.95$

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