Lead was banned as an ingredient in most paints in 1978, although it is still used in specialty paints. Lead usage in paints from 1940 through 1980 is reported in the table. Lead Usage in Paint Lead usage, u (thousand tons) Year 1940 70 1950 35 1960 10 1970 5 1980 0.01 (a) Compare the fit of a quadratic model and an exponential model for lead usage. Which model fits the data better? exponential model Oquadratic model (b) Align the data so that x = 0 in 1935. Compare the fit of a quadratic and a log model for lead usage. Which model fits the data better? O quadratic model Ologarithmic model (c) Because lead usage in paint was generally banned in 1978, which model best fits the end behavior? Oquadratic model exponential model logarithmic model (d) Write the function for the quadratic model that gives lead paint usage in thousand tons, where x is the number of years after 1935, with data from 5 x s 45. (Round all numerical values to three decimal places.) u(x) y 0.07x- 4558x+90.789X
Lead was banned as an ingredient in most paints in 1978, although it is still used in specialty paints. Lead usage in paints from 1940 through 1980 is reported in the table. Lead Usage in Paint Lead usage, u (thousand tons) Year 1940 70 1950 35 1960 10 1970 5 1980 0.01 (a) Compare the fit of a quadratic model and an exponential model for lead usage. Which model fits the data better? exponential model Oquadratic model (b) Align the data so that x = 0 in 1935. Compare the fit of a quadratic and a log model for lead usage. Which model fits the data better? O quadratic model Ologarithmic model (c) Because lead usage in paint was generally banned in 1978, which model best fits the end behavior? Oquadratic model exponential model logarithmic model (d) Write the function for the quadratic model that gives lead paint usage in thousand tons, where x is the number of years after 1935, with data from 5 x s 45. (Round all numerical values to three decimal places.) u(x) y 0.07x- 4558x+90.789X
Trigonometry (MindTap Course List)
10th Edition
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Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 26PS
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Transcribed Image Text:Lead was banned as an ingredient in most paints in 1978, although it is still used in specialty paints. Lead usage in paints from 1940 through 1980 is reported in the table.
Lead Usage in Paint
Lead usage, u
(thousand tons)
Year
1940
70
1950
35
1960
10
1970
5
1980
0.01
(a) Compare the fit of a quadratic model and an exponential model for lead usage. Which model fits the data better?
exponential model
Oquadratic model
(b) Align the data so that x = 0 in 1935. Compare the fit of a quadratic and a log model for lead usage. Which model fits the data better?
O quadratic model
Ologarithmic model
(c) Because lead usage in paint was generally banned in 1978, which model best fits the end behavior?
Oquadratic model
exponential model
logarithmic model
(d) Write the function for the quadratic model that gives lead paint usage in thousand tons, where x is the number of years after 1935, with data from 5
x s 45. (Round all numerical values to three decimal places.)
u(x) y 0.07x- 4558x+90.789X
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