Concept explainers
(a)
Graph of population v/s time .
(a)
Answer to Problem 7PPS
The rate of increasing population is higher in Illinois and they didn`t have same rate in any year
Explanation of Solution
Given data:
Table of population v/s time of Illinois and Pennsylvania
Formula used:
Slope intercept formula:-
Calculation:
Graph of population v/s time
We saw that the population of both cities are increasing at different rate.
Conclusion:
The rate of increasing population is higher in Illinois and they didn`t have same rate in any year
(b)
Point of intersection represent in the graph if it happen.
(b)
Answer to Problem 7PPS
It represent the both cities have same increasing rate.
Explanation of Solution
Given data:
Graph of population v/s time of Illinois and Pennsylvania
Formula used:
Slope intercept formula:-
Calculation:
Illinois was increased at faster because its graph had a faster increment. If two lines on graph intersect than it can be say that both cities have same increasing rate.
Conclusion:
It represent the both cities have same increasing rate.
(c)
Equation of the graph.
(c)
Answer to Problem 7PPS
Equation for Illinois is
Equation for Pennsylvania is
Explanation of Solution
Given data:
Graph of population v/s time of Illinois and Pennsylvania
Formula used:
Slope intercept formula:-
Calculation:
Equation for Illinois is
Equation for Pennsylvania is
On intersection we have to find common points so by eq1 and eq2 we get
So as we know year can`t be negative so there is no intersection point
Conclusion:
Equation for Illinois is
Equation for Pennsylvania is
(d)
Population of Illinois and Pennsylvania in 2015.
(d)
Answer to Problem 7PPS
Population in 2015 of Illinois is 4.9 billion and Pennsylvania is 4.8 billion.
Explanation of Solution
Given data:
Equation of population of Illinois and Pennsylvania
Formula used:
Slope intercept formula:-
Calculation:
Population in 2015 of
Illinois is 4.9 billion
And Pennsylvania is 4.8 billion.
Conclusion:
Population in 2015 of Illinois is 4.9 billion and Pennsylvania is 4.8 billion.
Chapter 8 Solutions
Pre-Algebra, Student Edition
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