U.S. math SAT scores as a function of household income. 600 538 542 550 554 500 457 475 497 512 528 400 300 200 100 0-2 4-6 8-10 12-14 16-20 Family income (S10,000's) ai Pind 7(7) and interpret (write a sentence explaining what your result means). b) Does the function provide a reasonable estimate for /(7)? Math SAT

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Chapter2: Second-order Linear Odes
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4. The function f(x)=0.03x-1.15x² +18x+433 models the data in the bar graph shown below.
U.S. math SAT scores as a function of household income.
600
528 538 542 550 554
500 457 475 497 512
400
300
200
100
0
0-2
4-6
8-10
12-14
16-20
Family income ($10,000's)
a) Find f(7) and interpret (write a sentence explaining what your result means).
b) Does the function provide a reasonable estimate for f(7)?
c) Does the function provide a reasonable estimate for f(100)? Explain.
Math SAT
Transcribed Image Text:4. The function f(x)=0.03x-1.15x² +18x+433 models the data in the bar graph shown below. U.S. math SAT scores as a function of household income. 600 528 538 542 550 554 500 457 475 497 512 400 300 200 100 0 0-2 4-6 8-10 12-14 16-20 Family income ($10,000's) a) Find f(7) and interpret (write a sentence explaining what your result means). b) Does the function provide a reasonable estimate for f(7)? c) Does the function provide a reasonable estimate for f(100)? Explain. Math SAT
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