Concept explainers
a.
To write: an exponential growth function that represents the population t years after 2000.
a.
Answer to Problem 17E
Explanation of Solution
Given:
The population in the year 2000 = 315,000
Population growth rate = 2% annually
Concept used:
Exponential growth function:
Here, the y is the final value, a is the initial value, and r is the rate of growth (in decimal form).
Calculation:
Substituting
Conclusion:
So, the population t years after 2000 is given by the function
b.
To determine: the population in the year 2020 (round off to nearest thousand).
b.
Answer to Problem 17E
Approximately
Explanation of Solution
Given:
The population‘t’ years after 2000 is given by the function:
The population in the year 2020 is found by substituting
Conclusion:
So, population in the year 2020 will be about 468,000.
Chapter 6 Solutions
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