Question

Hours studied (per week) 2 4 6 8 10 SAT Scores 900 1000 1050 1075 1090 33) 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?

Answer 1

a) horizontal axis represents hours of study in a week and vertical axis represents the respective SAT score.

Of s

1200 1075 1090 1050 1000 1000 900 800 600 400 200 0 2 4 6 00 10

b)since the SAT score increass with additional hour of study, the relationship is positive.

c)As the hour of sudy increases, for every additional 2 hour of study, the additional SAT score decreases. At first when study hour is increases from 2 hours to 4, SAT score increases by 100 , then for next two hours, SAT Score increases by 50 ( from 1000 to 1050 ) and for another 2 hour of additional , Score increases only by 25 . Therefore the slope (= ∆SAT Score/ ∆ hours of study in a week ) decreases .

d) horizontal axis represents hours of study in week and vertical axis represents respective SAT score.

1400 1200 1150 1175 1190 1100 1000 1000 800 600 400 200 0 N 4 6 8 10

e) variables involved are

Hours of study in a week and SAT score