Use a calculator with a yx key or a ^ key to solve Exercises 53—56.
53. 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
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.
e. What appears to be happening to India’s population every 27 years?
54. The 1986 explosion at the Chernobyl nuclear power plant in the former Soviet Union sent about 1000 kilograms of radioactive cesium-137 into the atmosphere. The function
describes the amount, f(x), in kilograms, of cesium-137 remaining in Chernobyl x years after 1986. If even 100 kilograms of cesium-137 remain in Chernobyl’s atmosphere, the area is considered unsafe for human habitation. Find f(80) and determine if Chernobyl will be safe for human habitation by 2066.
The formula
models inflation, where C = the value today, r = the annual inflation rate, and S = the inflated value t years from now. Use this formula to solve Exercises 55—56. Round answers to the nearest dollar.
55. If the inflation rate is 6%, how much will a house now worth
$465,000 be worth in 10 years?
56. If the inflation rate is 3%, how much will a house now worth $510,000 be worth in 5 years?
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Introductory and Intermediate Algebra for College Students (Looseleaf) - Wkkpprs
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