The bar graph shows the population of a country, in millions, for seven selected years. The two functions that are given model the data, the male population, M(x), in millions, and the female population, F(x), in millions, x years after 1985. Answer parts a through c. M(x) = 1.48x + 118.3 F(X) = 1.44x + 122.7 Population of the Country 180 160- 140- S 120- 100- 80- 60- 1985 199b t le 0 Years Male Female a. Write a function that models the total population of a country for the years shown in the bar graph. Select the correct choice below and fill in the answer box to complete your choice. O A. (MF)(x)= OB. (x)= OC. (M + F)(x) = O D. (M - FXx) = 0 b. Use the function from part (a) to find the total population of a country in 2010 The total population of a country in 2010 is 0 million. (Type an integer or a decimal.) c. How well does the result in part (b) model the actual total population in 2010 shown by the bar graph? Select the correct choice below and, if necessary, fill in the answer box to complete your choice (Type an integer or a decimal) O A. The result in part (b) overestimates the actual population of a country in 2010 by million

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 2CA
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The bar graph shows the population of a country, in millions, for seven selected years. The two functions that are given model the data, the male population, M(x), in millions, and the
female population, F(x), in millions, x years after 1985. Answer parts a through c.
Population of the Country
180-
174
169
181
M(x) = 1.48x + 118.3
F(x) = 1.44x + 122.7
160-
153 153
148 148
139 139
140-
133 131
128
123
三 120-
116
100-
80-
60-
1985 1990 1995 2000 2005 2010 2015
Years
Male
Female
a. Write a function that models the total population of a country for the years shown in the bar graph. Select the correct choice below and fill in the answer box to complete your choice.
O A. (MF)(x)=
M
O B.
(x) =
Oc. (M+F)(x) =
D. (M- F)(x)=0
b. Use the function from part (a) to find the total population of a country in 2010.
The total population of a country in 2010 is 0 million.
(Type an integer or a decimal.)
c. How well does the result in part (b) model the actual total population in 2010 shown by the bar graph? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Type an integer or a decimal)
million.
O A. The result in part (b) overestimates the actual population of a country in 2010 by
million.
B. The result in part (b) underestimates the actual population of a country in 2010 by
Population (in millions)
Transcribed Image Text:The bar graph shows the population of a country, in millions, for seven selected years. The two functions that are given model the data, the male population, M(x), in millions, and the female population, F(x), in millions, x years after 1985. Answer parts a through c. Population of the Country 180- 174 169 181 M(x) = 1.48x + 118.3 F(x) = 1.44x + 122.7 160- 153 153 148 148 139 139 140- 133 131 128 123 三 120- 116 100- 80- 60- 1985 1990 1995 2000 2005 2010 2015 Years Male Female a. Write a function that models the total population of a country for the years shown in the bar graph. Select the correct choice below and fill in the answer box to complete your choice. O A. (MF)(x)= M O B. (x) = Oc. (M+F)(x) = D. (M- F)(x)=0 b. Use the function from part (a) to find the total population of a country in 2010. The total population of a country in 2010 is 0 million. (Type an integer or a decimal.) c. How well does the result in part (b) model the actual total population in 2010 shown by the bar graph? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type an integer or a decimal) million. O A. The result in part (b) overestimates the actual population of a country in 2010 by million. B. The result in part (b) underestimates the actual population of a country in 2010 by Population (in millions)
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