a
To make a table showing the relation between body and water weight for people weighing 100, 105, 110,120,125 and 130 pounds.
a
Explanation of Solution
Given:
The given relation is
Where w = weight of water in pounds.
b = body weight in pounds.
Calculation:
When the body weight ( b) =100 pounds, weight of water ( w ) is =
Similarly,
Values of ‘ b’ | Values of ‘ w’ |
100 | |
105 | |
110 | |
120 | |
125 | |
130 |
Conclusion:
The above table shows the relation between body and water weight for people.
b
To identify the dependent and independent variables from the given relation.
b
Answer to Problem 37PPS
Weight of body is independent variable.
Weight of water is dependent variable.
Explanation of Solution
Given:
The given relation is
Independent variables are those variables which keeps on changing and they are unaffected by the change of any other parameter. For example: - Time.
Hence, Weight of the body ( b) is the deciding parameter which does not depend on other variable. So it is the independent variable.
Weight of the water ( w) depends on weight of the body ( b) as per the given relation.
So, the Weight of the water is the dependent variable.
Conclusion:
Therefore, weight of body is independent variable and weight of water is dependent variable.
c
To write: the domain and range of the relation
c
Answer to Problem 37PPS
Domain
Range
Explanation of Solution
Given:
The relation is
Domain is all the values of x - axis that is defined in the given relation.
Range is all the values of y - axis that are possible for corresponding values of x - axis.
Hence, for the relation
Calculation for graph:
Consider
Values of ‘ b’ | Values of ‘ w’ |
100 | |
105 | |
110 | |
120 | |
125 | |
130 |
By taking different values of b , the graph can be plotted.
Graph:
Interpretation:
From the above graph, it is clear that,
As the weight of the body increases, the weight of the water also increases.
d
To reverse the independent and dependent variable of the given relation, graph it and interpret the meaning of the graph.
d
Explanation of Solution
Given:
The relation is
Here, Weight of the body ( b ) is the independent variable.
Weight of water ( w) is the dependent variable
The given relation after reversing the independent and dependent variable is
This means, for every 3 pounds of water, there will be 2 pounds of body weight for an adult.
Calculation for graph:
Consider
Values of ‘ w’ | Values of ‘ b’ |
100 | |
105 | |
110 | |
120 | |
125 | |
130 |
Graph:
In the above graph, x - axis denotes the weight of the water ( w) in pounds.
y - axis denotes the weight of the body ( b ) in pounds.
Interpretation:
From the above graph, it is clear that,
As the weight of the water increases, the weight of the body also increases.
Chapter 1 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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