SAT Scores by Income The following bar graph shows U.S. critical reading SAT scores as a function of household income. 52 Family income ($1,000) a. Which of the following best models the data ( C is a constant)? (A) S ( x ) = C + 1 136 e 0.015 x (B) S ( x ) = C − 136 e 0.015 x (C) S ( x ) = C − 136 e 0.015 x (D) S ( x ) = C − e 0.015 x 136 ( S ( x ) is the average math SAT score of students whose household income in x thousand dollars per year.) b. Use S ' ( x ) topredict how a student’s math SAT score is affected by a $ 1 , 000 increasein parents’ income for a student whose parents earn $45,000. c. Does S ' ( x ) increasesor decreases as x increases? Interpret your answer.
SAT Scores by Income The following bar graph shows U.S. critical reading SAT scores as a function of household income. 52 Family income ($1,000) a. Which of the following best models the data ( C is a constant)? (A) S ( x ) = C + 1 136 e 0.015 x (B) S ( x ) = C − 136 e 0.015 x (C) S ( x ) = C − 136 e 0.015 x (D) S ( x ) = C − e 0.015 x 136 ( S ( x ) is the average math SAT score of students whose household income in x thousand dollars per year.) b. Use S ' ( x ) topredict how a student’s math SAT score is affected by a $ 1 , 000 increasein parents’ income for a student whose parents earn $45,000. c. Does S ' ( x ) increasesor decreases as x increases? Interpret your answer.
Solution Summary: The author analyzes how the graph shows the critical reading SAT scores as a function of household income.
SAT Scores by Income The following bar graph shows U.S. critical reading SAT scores as a function of household income.52
Family income ($1,000)
a. Which of the following best models the data (C is a constant)?
(A)
S
(
x
)
=
C
+
1
136
e
0.015
x
(B)
S
(
x
)
=
C
−
136
e
0.015
x
(C)
S
(
x
)
=
C
−
136
e
0.015
x
(D)
S
(
x
)
=
C
−
e
0.015
x
136
(
S
(
x
)
is the average math SAT score of students whose household income in x thousand dollars per year.)
b. Use
S
'
(
x
)
topredict how a student’s math SAT score is affected by a
$
1
,
000
increasein parents’ income for a student whose parents earn $45,000.
c. Does
S
'
(
x
)
increasesor decreases as x increases? Interpret your answer.
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