Concept explainers
a.
To calculate: An equation to find the population of California y after x years.
a.
Answer to Problem 57PFA
The population of California y after x years will be
Explanation of Solution
Given:
The population of California was about 37.3 million in 2010 and 39 million in 2015. Let y be the population of California and x be the number of years since 2010.
Calculation:
The population of California in 2010
The population of California in 2015
Then, increase in population of California in 5 years
Then, increase in population of California in 1 year
Then, increase in population of California in x years
So, total population of California in x years
Here, y represents the population of California.
Then,
Conclusion:
The population of California y after x years will be
b.
To calculate:The statements which are true about the population of California.
b.
Answer to Problem 57PFA
The statements which are true about the population of California are,
A. The population is increasing by about 0.34 million people per year.
C. In 2030, the population will be about 44.1 million.
E. In 2025, the population will be about 42.4 million.
Explanation of Solution
Given:
The population of California was about 37.3 million in 2010 and 39 million in 2015. Let y be the population of California and x be the number of years since 2010.
Calculation:
The population of California in 2010
The population of California in 2015
Then, increase in population of California in 5 years
Then, increase in population of California in 1 year
Thus, statement A is true.
The population of California in 2015 is greater than population in 2010.
So, the population of California is increasing.
Thus, statement B is false.
The population of California is given by,
Then, in 2030, that is, after 20 years from 2010, the population will be,
Thus, statement C is true.
From statement A, it is observed that the population is increasing by about 0.34 million people per year.
Thus, statement D is false.
The population in 2025, that is, after 15 years from 2010 will be,
Thus, statement E is true.
Conclusion:
The statements which are true about the population of California are,
A. The population is increasing by about 0.34 million people per year.
C. In 2030, the population will be about 44.1 million.
E. In 2025, the population will be about 42.4 million.
Chapter 4 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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