(a)
To graph the inequalities that represents the weight Jessica and Marc can carry.
(a)
Answer to Problem 27PPS
The inequalities represented by the given data are as follows.
Explanation of Solution
Given Information:
Jessica | Marc | |
Food required | pounds | pounds. |
Water required | gallons | gallons |
Weight of equipment | pounds | pounds |
Maximum weight they can carry | pounds | pounds |
Let
Let
According to constraints of weight for Jessica , write the inequality as follows.
Weight of food and water is
Total weight that Jessica can carry =
Therefore,
Similarly for Marc , the inequality will be
Simplification:
Simplify the inequalities and rewrite as follows.
Explanation of graph:
The graph of
The inequality consists of two inequalities
To plot
The graph of
The inequality consists of two inequalities
To plot
Graph:
The graph of the given inequalities
(b)
how many days can they camp if it’s assumed that they will bring all their supplies at once.
(b)
Answer to Problem 27PPS
Jessica’s supplies will last for
Explanation of Solution
From the graph it is clear that Jessica’s supplies will last for
(c)
To find: who will run out of the supplies first.
(c)
Answer to Problem 27PPS
Marc’s supplies will run out first
Explanation of Solution
From the graph it is clear that Jessica’s supplies will last for
Marc’s supplies will run out first. He will run out
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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