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7) What is the difference between a positive and a negative relationship?
8) A graph of two variables is a vertical line. What is the interpretation of this result?
9) The figure above shows how the sales of the video game "Tomb Raider–Lara Retires" change
when the advertising spent on the game changes. Is the relationship between advertising and the
number of games sold positive, negative, or neither? Explain your answer.
10) The figure above shows how the relationship between the number of hours per week a high
school student spends on the web and the student's SAT score. Is the relationship between hours
on the web and the SAT score positive, negative, neither? Explain your answer.
11) A graph has a point that is either a maximum or a minimum. To the left of the point, the
slope of relationship is positive. To the right of the point, the slope is negative. Is the point a
maximum point or a minimum point? Be sure to draw a figure that supports your answer.
12) What does the slope of a straight line equal? How is the slope of a curved line calculated?
13) In the figure above, what can you deduce about the slope of the curve?
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14) The table above shows how the number of books Katie buys each year depends on her
income
a. What kind of relationship exists between Katie's income and the number of books she
purchases?
b. Plot the relationship between Katie's income and the number of books she purchases in the
above figure. Measure income along the vertical axis and the number of books along the
horizontal axis. Be sure to label the axes.
c. What is the slope of the relationship between $50,000 and $70,000 of income?
d. What is the slope of the relationship between $90,000 and $110,000 of income?
e. Comment on the similarity or dissimilarity of your answers to parts (c) and (d).
15) Graph the data in the table above in the figure. Label the axes.
a. Is the relationship between X and Y positive or negative?
b. What is the slope when X = 4?
c. What is the slope when X = 8?
16) In the diagram below, draw a straight line with a slope of zero.
17) What does the slope of the line shown in the above figure equal?
18) What does the slope of the line shown in the above figure equal?
19) What does the slope of the line shown in the above figure equal?
20) What does the slope of the line shown in the above figure equal?
21) What does the slope of the curved line at point A shown in the above figure equal?
22) "It is impossible to represent a three variable relationship in a two-dimensional graph." Is this
statement true or false? Explain your answer.
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23) Jamie is preparing to take his SAT tests. The table above shows how Jamie's score depends
on the number of hours a week Jamie studies
a. Plot the relationship in the figure, putting the hours studied on the horizontal axis.
b. Is the relationship you plotted positive or negative?
c. What happens to the slope of the relationship as hours studied increase?
d. Suppose Jamie can enroll in an SAT prep course and, by so doing, for every possible number
of hours he studies, his score will be 100 points higher. Plot the new relationship between the
number of hours studied and Jamie's SAT score in the figure.
e. How many variables are involved in the figure you just completed?
