The following bar graph shows U.S. math SAT scores as a function of household income.† A bar graph has a horizontal axis labeled Family income ($1,000) and a vertical axis labeled Math S A T. The bar graph has 9 bars. Each bar is associated with a label and an approximate value as listed below. 0–20: 457 20–40: 475 40–60: 497 60–80: 512 80–100: 528 100–120: 538 120–140: 542 140–160: 550 160–200: 554 These data can be modeled by S(x) = 573 − 33e−0.0131x, where S(x) is the average math SAT score of students whose household income is x thousand dollars per year. Calculate lim x→+∞ S(x). (If an answer does not exist, enter DNE.) Interpret the answer. Students whose parents earn an exceptionally large income score an average of on the SAT math test.
The following bar graph shows U.S. math SAT scores as a function of household income.† A bar graph has a horizontal axis labeled Family income ($1,000) and a vertical axis labeled Math S A T. The bar graph has 9 bars. Each bar is associated with a label and an approximate value as listed below. 0–20: 457 20–40: 475 40–60: 497 60–80: 512 80–100: 528 100–120: 538 120–140: 542 140–160: 550 160–200: 554 These data can be modeled by S(x) = 573 − 33e−0.0131x, where S(x) is the average math SAT score of students whose household income is x thousand dollars per year. Calculate lim x→+∞ S(x). (If an answer does not exist, enter DNE.) Interpret the answer. Students whose parents earn an exceptionally large income score an average of on the SAT math test.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 20E: Focal Length A refracting telescope has a main lens, or objective lens, and a second lens, the...
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The following bar graph shows U.S. math SAT scores as a function of household income.†
A bar graph has a horizontal axis labeled Family income ($1,000) and a vertical axis labeled Math S A T. The bar graph has 9 bars. Each bar is associated with a label and an approximate value as listed below.
- 0–20: 457
- 20–40: 475
- 40–60: 497
- 60–80: 512
- 80–100: 528
- 100–120: 538
- 120–140: 542
- 140–160: 550
- 160–200: 554
These data can be modeled by
S(x) = 573 − 33e−0.0131x,
where S(x) is the average math SAT score of students whose household income is x thousand dollars per year.
Calculate
lim x→+∞ S(x).
(If an answer does not exist, enter DNE.)Interpret the answer.
Students whose parents earn an exceptionally large income score an average of on the SAT math test.
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