Use a calculator with a y x key or a ∧ key to solve Exercises 65-70. India is currently one of the world's fastest-growing countries. By 2040, the population of India will be larger than the population of China; by 2050, nearly one-third of the world’s population will live in these two countries alone. The exponential function f(x) ⋅ ⋅ 574(1.026) r models the population of India, f(x) . in millions, x years after 1974. a. Substitute 0 for x and, without using a calculator, find India’s population in 1974. b. Substitute 27 for x and use your calculator to find India's population, to the nearest million, in the year 2001 as modeled by this function. c. Find India’s population, to the nearest million, in the year 2028 as predicted by this function. d. Find India's population, to the nearest million, in the year 2055 as predicted by this function. c. What appears to be happening to India's population every 27 years?
Use a calculator with a y x key or a ∧ key to solve Exercises 65-70. India is currently one of the world's fastest-growing countries. By 2040, the population of India will be larger than the population of China; by 2050, nearly one-third of the world’s population will live in these two countries alone. The exponential function f(x) ⋅ ⋅ 574(1.026) r models the population of India, f(x) . in millions, x years after 1974. a. Substitute 0 for x and, without using a calculator, find India’s population in 1974. b. Substitute 27 for x and use your calculator to find India's population, to the nearest million, in the year 2001 as modeled by this function. c. Find India’s population, to the nearest million, in the year 2028 as predicted by this function. d. Find India's population, to the nearest million, in the year 2055 as predicted by this function. c. What appears to be happening to India's population every 27 years?
Solution Summary: The author calculates the population of India in 1974 and 2001 by using TI-83 calculator.
Use a calculator with a
y
x
key or a
∧
key to solve Exercises 65-70.
India is currently one of the world's fastest-growing countries. By 2040, the population of India will be larger than the population of China; by 2050, nearly one-third of the world’s population will live in these two countries alone. The exponential function f(x)
⋅
⋅
574(1.026)r models the population of India, f(x). in millions, x years after 1974.
a. Substitute 0 for x and, without using a calculator, find India’s population in 1974.
b. Substitute 27 for x and use your calculator to find India's population, to the nearest million, in the year 2001 as modeled by this function.
c. Find India’s population, to the nearest million, in the year 2028 as predicted by this function.
d. Find India's population, to the nearest million, in the year 2055 as predicted by this function.
c. What appears to be happening to India's population every 27 years?
A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050, approximately 82.3 million Americans will be at least
65. The bar graph shows the estimated number of Americans with projected figures for the year 2020 and beyond.
in millions,
A graphing calculator screen displays an exponential function that models the U.S. population age 65 and over,
x years after 1899. Use this information to solve (a)-(d) below.
ExpReg
y = a-b^x
a = 3.5086444296
b = 1.022905603
W Click the icon to view the bar graph.
a. Explain why an exponential function was used to model the population data.
O A. An exponential function was used because exponential functions are always more accurate than linear functions.
O B. An exponential function was used because population is always modeled using exponential functions.
C. An exponential function was used because the data in the bar graph is increasing more and more rapidly.
O D. An exponential function was used…
A scientist discovered a new strain of bacteria. The bacteria culture initially contained 5000 bacteria and the bacteria are doubling every hour.
Which exponential function illustrates this situation?
y = 5000(x)?
a
O b
y = 5000 + 2*
y = 5000(2)*
y = 5000 1og, (x)
A survey approximates the number of Americans that are age 65 and older and projects that by the year 2050,
approximately 82.6 million Americans will be at least 65. The bar graph shows the estimated number of Americans
with projected figures for the year 2020 and beyond.
A graphing calculator screen displays an exponential function that models the U.S.
population age 65 and over, y, in millions, x years after 1899. Use this information to
solve (a)-(d) below.
Click the icon to view the bar graph.
最重
ExpReg
y = a-b^x
a = 3.363809536
b = 1.023357735
a. Explain why an exponential function was used to model the population data.
A. An exponential function was used because the data in the bar graph is increasing more and more rapidly.
OB. An exponential function was used because population is always modeled using exponential functions.
OC. An exponential function was used because there are too many data points to use a linear function.
OD. An exponential function was used because…
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