2. The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady. Country Australia Population in 2000 19,169,000 Growth Rate 0.6% China 1,261,832,000 0.9% Mexico 100,350,000 1.8% Zaire 51,965,000 3.1% (SHOW WORK) 5. Astronomers classify stars according to their brightness by assigning them a stellar "magnitude." The higher the magnitude the dimmer the star. The dimmest stars visible to the naked eye have stellar magnitudes of 6. The table below shows the relative brightness of different stellar magnitudes. Stellar Magnitude Relative Brightness 2 3 4 5 6 100 40 16 6.3 2.5 1 a. Find an equation that gives the relative brightness in terms of stellar magnitude. b. Use this equation to find the relative brightness of a star with magnitude 9. (SHOW WORK)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.9: Geometric Sequences As Exponential Functions
Problem 49PFA
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2. The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the
expected population of each country in 2025, assuming their annual growth rates remain steady.
Country
Australia
Population in 2000
19,169,000
Growth Rate
0.6%
China
1,261,832,000
0.9%
Mexico
100,350,000
1.8%
Zaire
51,965,000
3.1%
(SHOW WORK)
Transcribed Image Text:2. The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expected population of each country in 2025, assuming their annual growth rates remain steady. Country Australia Population in 2000 19,169,000 Growth Rate 0.6% China 1,261,832,000 0.9% Mexico 100,350,000 1.8% Zaire 51,965,000 3.1% (SHOW WORK)
5. Astronomers classify stars according to their brightness by assigning them a stellar "magnitude." The higher the magnitude
the dimmer the star. The dimmest stars visible to the naked eye have stellar magnitudes of 6. The table below shows the
relative brightness of different stellar magnitudes.
Stellar Magnitude
Relative Brightness
2
3
4
5
6
100
40
16 6.3
2.5
1
a. Find an equation that gives the relative brightness in terms of stellar magnitude.
b. Use this equation to find the relative brightness of a star with magnitude 9.
(SHOW WORK)
Transcribed Image Text:5. Astronomers classify stars according to their brightness by assigning them a stellar "magnitude." The higher the magnitude the dimmer the star. The dimmest stars visible to the naked eye have stellar magnitudes of 6. The table below shows the relative brightness of different stellar magnitudes. Stellar Magnitude Relative Brightness 2 3 4 5 6 100 40 16 6.3 2.5 1 a. Find an equation that gives the relative brightness in terms of stellar magnitude. b. Use this equation to find the relative brightness of a star with magnitude 9. (SHOW WORK)
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