SAT Scores by Income The math SAT score of a high school graduate can be approximated by
Where x is the household income of the student in thousands of dollars per year.^{54}
a. Use technology to complete the following table, which shows the average rate of change of S over successive intervals of length 40. (Round all answers to two decimal places.) [HINT: See Example 4.]
Interval 





Avg. Rate ofChange of S 
b. Interpret your answer for the interval
c. Multiple choice: As her household income rises, a student’s SAT score
(A) increases.
(B) decreases.
(C) increases, then decreases.
(D) decreases, then increases.
d. Multiple choice: As the household income increases, the effect on a student’s SAT score is
(A) more pronounced.
(B) less pronounced.
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