Population growth. The population of California was approximately 30 million in 1990 , 34 million in 2000 and 37 million in 2010 . Construct a model for this data by finding a quadratic equation whose graph passes through the points 0 , 30 , 10 , 34 and 20 , 37 . Use this model to estimate the population in 2030 . Do you think the estimate is plausible? Explain. (Source: US Census Bureau)
Population growth. The population of California was approximately 30 million in 1990 , 34 million in 2000 and 37 million in 2010 . Construct a model for this data by finding a quadratic equation whose graph passes through the points 0 , 30 , 10 , 34 and 20 , 37 . Use this model to estimate the population in 2030 . Do you think the estimate is plausible? Explain. (Source: US Census Bureau)
Solution Summary: The author explains the quadratic equation for the data of the population of California, which passes through the points (0,30),
Population growth. The population of California was approximately
30
million in
1990
,
34
million in
2000
and
37
million in
2010
. Construct a model for this data by finding a quadratic equation whose graph passes through the points
0
,
30
,
10
,
34
and
20
,
37
. Use this model to estimate the population in
2030
. Do you think the estimate is plausible?
Explain. (Source: US Census Bureau)
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
In 2000, the population of a town was 46,020. By 2002 the population had increased to 52,070. Assuming the towns population is increasing
linearly answer the following questions
a. What is the population of the town by 2006?
b. What year will the towns population reach 75,000?
a.
type your answer..
b. type your answer.
Degrees Earned The number of postsecondarydegrees earned, in thousands (including associate’s,bachelor’s, master’s, first professional, and doctoral degrees), can be modeled by y = 3.980x2 -17.597x + 2180.899, where x is the number of yearsafter 1990. If this model is accurate, during what yearsfrom 1990 on would the number of postsecondarydegrees earned be less than 3500 thousand?
The average salary of Major League Baseball players on opening day from 2000 to 2010 is stored in the following table.
Year
Salary ($millions)
(Please let the coded year start from 0)
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
A. Fit a linear trend forecasting model. What is the coefficient of the coded year?
B. Fit a quadratic trend forecasting model. What is the coefficient of the quadratic term?
C. Which model is the most appropriate? A
D. Using the most appropriate model, forecast the average salary for 2011.
1.99
2.29
2.38
2.58
2,49
2.63
2.83
2.92
3.13
3.26
3.27
(Round to 3 decimal places)
(Round to 5 decimal places)
(put "A" for linear model, "B" for quadratic model)
(round to 3 decimal places)
Chapter 4 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.