Question 1

Exhibit 1-4 
-Which of the following must be true of line D in Exhibit 1-4?
A) A decrease in P is associated with a decrease in Q.
B) An increase in P is associated with an increase in Q.
C) There is no relation between P and Q.
D) There is an inverse relationship between P and Q.
E) There is a direct relationship between P and Q.

Accepted Answer

Line D slopes downwards, indicating that as the value of P increases, the value of Q decreases. This shows an inverse relationship between P and Q. Therefore, the correct answer is (D) There is an inverse relationship between P and Q.

Question 2

-Point b in Exhibit 1-1 represents
A) x = 30,y = 60
B) x = 60,y = 30
C) x + y = 60
D) x + y = 30
E) b = 90

Accepted Answer

A

Question 3

Exhibit 1-2 
-In Exhibit 1-2,curve A has a __________ slope that is __________ at every point.
A) positive; constant
B) positive; changing
C) negative; constant
D) negative; changing
E) changing; constant

Accepted Answer

Curve A has a positive slope because it is trending upwards, and it has a constant slope because it maintains the same rate of increase at every point.

Question 4

A functional relationship exists between two variables if the value of one variable depends on the value of the other variable.

Accepted Answer

This is the definition of a functional relationship between two variables.

Question 5

Exhibit 1-2 
-In Exhibit 1-2,at y = 14,the
A) value of x is larger on curve A than on curve B
B) value of x is smaller on curve A than on curve B
C) value of x is the same on curve A as on curve B
D) slope of line A is negative
E) slope of line B is positive

Accepted Answer

At y=14, the x value on curve A is larger than the x value on curve B. We can see this by observing the graph where curve A intercepts the y-axis at a higher value of y and has a steeper slope than curve B. Therefore, as we move up from the x-axis, the x value for curve A increases at a faster rate than for curve B.

Question 6

-On a graph with x on the horizontal axis and y on the vertical axis,the origin is
A) the point where x = 0 and y = 0
B) any point where x = 0
C) any point where y = 0
D) where a curve intersects the vertical axis
E) where a curve intersects the horizontal axis

Accepted Answer

The origin is defined as the point where both x and y are equal to 0. This point is where the two axes intersect.

Question 7

Any point on a graph represents a combination of particular values of two variables.

Accepted Answer

Each point on a graph represents a specific value of the two variables being plotted.

Question 8

-In Exhibit 1-1,point c represents
A) x = 30,y = 60
B) x = 60,y = 30
C) c = 90
D) x + y = 60
E) x + y = 30

Accepted Answer

Point c is located at x = 60 and y = 30, so the best choice is B. Option A has the correct y-coordinate but the incorrect x-coordinate. Option C is not a valid choice because c is not a measurement of location on a coordinate plane. Option D and E are both incorrect because they do not provide specific coordinates for point c.

Question 9

-Point a in Exhibit 1-1 represents
A) the origin
B) x = 0,y = 50
C) x = 50,y = 0
D) x + y = 50
E) y = 0; no information is given about x

Accepted Answer

The answer of 
-Point a in Exhibit 1-1 represents
A) the...

Question 10

-If x causes y,then
A) x and y are inversely related
B) y is a dependent variable
C) other variables don't matter
D) y must,in turn,cause x
E) x and y are always in a direct relation to each other

Accepted Answer

If x causes y, then y is a dependent variable, meaning that its value is dependent on the value of x. The other answer choices are not necessarily true in all cases where x causes y.

Question 11

-If a given value of x is associated with a particular value of y,
A) then x causes y
B) then y causes x
C) then x and y must be logically connected
D) there are no other variables that affect the value of y
E) there may be no causal relationship between x and y

Accepted Answer

Just because a particular value of x is associated with a particular value of y, it does not necessarily mean that x causes y or that there is a causal relationship between the two variables. There may be other variables that affect the value of y, and x and y may not be logically connected. Therefore, the best choice is E.

Question 12

Exhibit 1-3 
-In Exhibit 1-3,for any value of x,the
A) value of y is larger on curve A than on curve B
B) value of y is smaller on curve A than on curve B
C) value of y is the same on curve A as on curve B
D) slope of line A is increasing
E) slope of line B is negative

Accepted Answer

For any value of x, the value of y on curve A is smaller than on curve B. Therefore, choice B is the correct answer. The other answer choices are not supported by the information provided in the exhibit.

Question 13

If the dependent variable Y is directly related to the independent variable X,this means that changes in X cause changes in Y.

Accepted Answer

The answer of If the dependent variable Y is directly...

Question 14

-Suppose y is measured on the vertical axis,x is on the horizontal axis,and the various combinations of x and y are shown by a nonvertical straight line.Which of the following must be true?
A) There is a negative relation between x and y.
B) There is a positive relation between x and y.
C) There is a causal relation between x and y.
D) If the value of x is known,the value of y can be determined.
E) The value of y is independent of the value of x.

Accepted Answer

The answer of 
-Suppose y is measured on the vertical...

Question 15

Exhibit 1-4 
-According to the curve in Exhibit 1-4,
A) if P = $8,then Q = 8
B) if P = $10,then Q = 10
C) Q increases as P increases
D) Q decreases as P decreases
E) there is a positive relation between Q and P

Accepted Answer

The answer of Exhibit 1-4 
-According to the curve in...

Question 16

Exhibit 1-2 
-In Exhibit 1-2,curve B has a __________ slope that is __________ at every point.
A) positive; constant
B) positive; changing
C) negative; constant
D) negative; changing
E) changing; constant

Accepted Answer

Curve B has a negative slope that is constant at every point, as it is a straight line with a negative slope.

Question 17

Exhibit 1-2 
-In Exhibit 1-2,at x = 10,the
A) value of y is larger on curve A than on curve B
B) value of y is smaller on curve A than on curve B
C) value of y is the same on curve A as on curve B
D) slope of line A is negative
E) slope of line B is positive

Accepted Answer

The answer of Exhibit 1-2 
-In Exhibit 1-2,at x =...

Question 18

Exhibit 1-2 
-In Exhibit 1-2,at y = 10,the
A) value of x is larger on curve A than on curve B
B) value of x is smaller on curve A than on curve B
C) value of x is the same on curve A as on curve B
D) slope of line A is negative
E) slope of line B is positive

Accepted Answer

At y=10, the value of x on curve A is smaller than the value of x on curve B. This can be seen by comparing the x-values on each curve where they intersect the y=10 line.

Question 19

Exhibit 1-2 
-In Exhibit 1-2,at x = 8,the
A) value of y is larger on curve A than on curve B
B) value of y is smaller on curve A than on curve B
C) value of y is the same on curve A as on curve B
D) slope of line A is negative
E) slope of line B is positive

Accepted Answer

At x = 8, the value of y on curve A is 6 while on curve B it is 10. This indicates that the value of y is smaller on curve A than on curve B.

Question 20

Exhibit 1-2 
-In Exhibit 1-2,at x = 12,the
A) value of y is larger on curve A than on curve B
B) value of y is smaller on curve A than on curve B
C) value of y is the same on curve A as on curve B
D) slope of line A is negative
E) slope of line B is positive

Accepted Answer

At x = 12, the value of y on curve A is approximately 20, while the value of y on curve B is approximately 10. Therefore, the value of y is larger on curve A than on curve B.

Quiz 21: Understanding Graphs

Exhibit 1-4 -Which of the following must be true of line D in Exhibit 1-4?

-Point b in Exhibit 1-1 represents

Exhibit 1-2 -In Exhibit 1-2,curve A has a slope that is at every point.

A functional relationship exists between two variables if the value of one variable depends on the value of the other variable.

Exhibit 1-2 -In Exhibit 1-2,at y = 14,the

-On a graph with x on the horizontal axis and y on the vertical axis,the origin is

Any point on a graph represents a combination of particular values of two variables.

-In Exhibit 1-1,point c represents

-Point a in Exhibit 1-1 represents

-If x causes y,then

-If a given value of x is associated with a particular value of y,

Exhibit 1-3 -In Exhibit 1-3,for any value of x,the

If the dependent variable Y is directly related to the independent variable X,this means that changes in X cause changes in Y.

-Suppose y is measured on the vertical axis,x is on the horizontal axis,and the various combinations of x and y are shown by a nonvertical straight line.Which of the following must be true?

Exhibit 1-4 -According to the curve in Exhibit 1-4,

Exhibit 1-2 -In Exhibit 1-2,curve B has a slope that is at every point.

Exhibit 1-2 -In Exhibit 1-2,at x = 10,the

Exhibit 1-2 -In Exhibit 1-2,at y = 10,the

Exhibit 1-2 -In Exhibit 1-2,at x = 8,the

Exhibit 1-2 -In Exhibit 1-2,at x = 12,the

Quiz 21: Understanding Graphs

Exhibit 1-4 -Which of the following must be true of line D in Exhibit 1-4?

-Point b in Exhibit 1-1 represents

Exhibit 1-2 -In Exhibit 1-2,curve A has a __________ slope that is __________ at every point.

A functional relationship exists between two variables if the value of one variable depends on the value of the other variable.

Exhibit 1-2 -In Exhibit 1-2,at y = 14,the

-On a graph with x on the horizontal axis and y on the vertical axis,the origin is

Any point on a graph represents a combination of particular values of two variables.

-In Exhibit 1-1,point c represents

-Point a in Exhibit 1-1 represents

-If x causes y,then

-If a given value of x is associated with a particular value of y,

Exhibit 1-3 -In Exhibit 1-3,for any value of x,the

If the dependent variable Y is directly related to the independent variable X,this means that changes in X cause changes in Y.

-Suppose y is measured on the vertical axis,x is on the horizontal axis,and the various combinations of x and y are shown by a nonvertical straight line.Which of the following must be true?

Exhibit 1-4 -According to the curve in Exhibit 1-4,

Exhibit 1-2 -In Exhibit 1-2,curve B has a __________ slope that is __________ at every point.

Exhibit 1-2 -In Exhibit 1-2,at x = 10,the

Exhibit 1-2 -In Exhibit 1-2,at y = 10,the

Exhibit 1-2 -In Exhibit 1-2,at x = 8,the

Exhibit 1-2 -In Exhibit 1-2,at x = 12,the

Exhibit 1-2 -In Exhibit 1-2,curve A has a slope that is at every point.

Exhibit 1-2 -In Exhibit 1-2,curve B has a slope that is at every point.