
a)
To find:
A set of ordered pairs representing table data in ordered pair form
a)

Answer to Problem 6LC
Required ordered pairs in form
Explanation of Solution
Given information:
Table given below shows the total enrollment in U.S. public school.
Also, x represents school years, 2012-13 onwards and y is the total enrollment
Concept used:
While forming an ordered pair, independent variable is put as first number and dependent variable is put as second number. Further the set of all first values of ordered pair is domain and set of all second numbers is range and if for a relation to be a function, each value of its domain must have a unique value in its co-domain.
Calculation:
Values of x will be taken as 2012, 2013, 2014, 2015 as number of school years, so its related ordered pairs will be
Conclusion:
So, above data in ordered pair form (Year, Enrollment) can be written as:
b)
To draw:
The related graph between year and enrollment.
b)

Answer to Problem 6LC
Graph representing the relation between year and enrollment is,
Explanation of Solution
Given information:
Table given below shows the total enrollment in M public school.
Also, , x represents school years, 2012-13 onwards and y is the total enrollment
Concept used:
While forming an ordered pair, independent variable is put as first number and dependent variable is put as second number. Further the set of all first values of ordered pair is domain and set of all second numbers is range and if for a relation to be a function, each value of its domain must have a unique value in its co-domain.
Calculation:
Years will be shown on x axis and enrollment on y axis, while plotting these pairs in XY plane as shown above.
Conclusion:
So, points calculated in ordered pair form, when plotted in XY plane, give the graph as shown above.
c)
To find:
Domain and range of the data.
c)

Answer to Problem 6LC
Domain is
Explanation of Solution
Given information:
Table given below shows the total enrollment in M public school.
Also, , x represents school years, 2012-13 onwards and y is the total enrollment
Concept used:
While forming an ordered pair, independent variable is put as first number and dependent variable is put as second number. Further the set of all first values of ordered pair is domain and set of all second numbers is range and if for a relation to be a function, each value of its domain must have a unique value in its co-domain.
Calculation:
As domain is the set of all first numbers of all ordered pairs, so its domain of given relation is
And as for each new first value, there is associated a unique second value in all ordered pairs. So, this relation is surely a function.
Conclusion:
So, as above relation, for each different first value, there is always a unique second value in its given ordered pairs. So, it is surely a function, based on definition of the function.
Chapter 1 Solutions
High School Math 2011 Algebra 1 Student Companion Grade 8/9
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