SAT Scores by Income The following graph shown U.S. math SAT scores as a function of parents’ income level. 81 Income ($1,000). The regression curve shown is given by f ( x ) = − 0.0034 x 2 + 1.2 x + 444 ( 10 ≤ x ≤ 180 ) where f ( x ) is the average math SAT score of a student whose parents earn x thousand dollars per year. Compute and interpret f ′ ( 30 ) .
SAT Scores by Income The following graph shown U.S. math SAT scores as a function of parents’ income level. 81 Income ($1,000). The regression curve shown is given by f ( x ) = − 0.0034 x 2 + 1.2 x + 444 ( 10 ≤ x ≤ 180 ) where f ( x ) is the average math SAT score of a student whose parents earn x thousand dollars per year. Compute and interpret f ′ ( 30 ) .
Solution Summary: The author analyzes the function f(x) and the graph which shows the U.S. math SAT scores as a function of parents income level.
SAT Scores by Income The following graph shown U.S. math SAT scores as a function of parents’ income level.81
Income ($1,000).
The regression curve shown is given by
f
(
x
)
=
−
0.0034
x
2
+
1.2
x
+
444
(
10
≤
x
≤
180
)
where
f
(
x
)
is the average math SAT score of a student whose parents earn x thousand dollars per year. Compute and interpret
f
′
(
30
)
.
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