
a.
To find: Variables and inequalities and graph of given situation.
a.

Answer to Problem 25PPS
Variables are
‘ x ’ be the square footage of the rink
‘ y ’ be the price of resurfacing
Inequalities are
1000≤x≤17000 .
10000≤y≤150000 .
Explanation of Solution
Given information:
Number of Rinks used are at least 1000 square feet and upto 17,000 square feet.
Price ranges from as little as $10,000 to as much as $150,000.
Let ‘ x ’ be the square footage of the rink
Let ‘ y ’ be the price of resurfacing.
From given information
Number of Rinks used are at least 1000 square feet and upto 17,000 square feet.
We get
1000≤x≤17000 ---------(1)
Price ranges from as little as $10,000 to as much as $150,000
We get
10000≤y≤150000 -------(2)
Here, Black colour region represents 10000≤y≤150000
Blue colour region represents 1000≤x≤17000 -
So the solution is the common region of black colour and blue colour.
b.
To find: One possible solution.
b.

Answer to Problem 25PPS
(10000,50000) is one possible solution.
Explanation of Solution
Given information:
Number of Rinks used are at least 1000 square feet and upto 17,000 square feet.
Price ranges from as little as $10,000 to as much as $150,000.
Inequalities are
1000≤x≤1700010000≤y≤150000
Graph of given inequalities is
Here, Black colour region represents 10000≤y≤150000
Blue colour region represents 1000≤x≤17000 -
So the solution is the common region of black colour and blue colour.
As (10000,50000) is present in the common region of both inequalities.
(10000,50000) is one possible solution.
c.
To find: Is (15000,30000) a solution.
c.

Answer to Problem 25PPS
Yes.
Explanation of Solution
Given information:
Number of Rinks used are at least 1000 square feet and upto 17,000 square feet.
Price ranges from as little as $10,000 to as much as $150,000.
Graph of given inequalities is
Here, Black colour region represents 10000≤y≤150000
Blue colour region represents 1000≤x≤17000 -
So the solution is the common region of black colour and blue colour.
As (15000,30000) is present in the common region of both inequalities. So (15000,30000) is a solution.
Chapter 6 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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