Question

1. solve the equation ( a + bx = c ) for ( x )

a ( x = \frac{c + a}{b} )
b ( x = \frac{c - a}{b} )
c ( x = \frac{c + b}{a} )
d ( x = \frac{c - b}{a} )

1. solve the inequality. ( 3x + 4 > 4 ) and ( 20 + x < 193 )

a ( x < -1 ) or ( x > 0 )
b ( x < 0 ) or ( x > 173 )
c ( 0 < x < 173 )
d ( 173 < x < 0 )

1. what type of correlation does the graph represent?

(there is a scatter plot with price on one axis and size in years on the other, with points showing a trend)
a positive correlation
b negative correlation
c no correlation

1. which relation is a function?

a ( {(0, 5), (1, 2), (2, 5), (1, 0)} )
b ( {(1, 3), (2, 7), (-1, 7), (0, 0)} )
c ( {(-5, 5), (2, 2), (3, 3), (2, -2)} )
d ( {(0, 5), (1, 2), (2, 5), (1, 0)} )

Explanation:

Question 7

Step1: Isolate the x term

$a + bx = c \implies bx = c - a$

Step2: Solve for x

$x = \frac{c - a}{b}$

Step1: Split the compound inequality

We have two inequalities: $3x + 4 > 4$ and $20 + x < 193$

Step2: Solve first inequality

$3x + 4 > 4 \implies 3x > 0 \implies x > 0$

Step3: Solve second inequality

$20 + x < 193 \implies x < 193 - 20 \implies x < 173$

Step4: Combine the solutions

$0 < x < 173$

The scatter plot shows that as the x-axis value increases, the y-axis value decreases. This pattern defines a negative correlation.

Answer:

$\boldsymbol{B.\ x = \frac{c-a}{b}}$

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Question 8