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a.
The domain and the range of the relation between the number of AA batteries and the corresponding price.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 1RE
The domain and the range of the relation between the number of AA batteries and the corresponding price are
Explanation of Solution
Given:
The price of a pack of 8 batteries is $6.30.
The price of a pack of 16 batteries is $13.99.
The price of a pack of 20 batteries is $12.32.
The price of a pack of 24 batteries is $13.99.
Calculation:
The relation between the number of batteries and the price can be defined as 8 is mapped to $6.30, 16 is mapped to $13.99, 20 is mapped to $12.32 and 24 is mapped to $13.99.
The domain of the relation between the number of AA batteries and the corresponding price consists of different values of the number of batteries.
Hence, the domain of the given relation is
The range of the relation between the number of AA batteries and the corresponding price consists of different values of the price of batteries.
Hence, the range of the given relation is
b.
The relationship between the number of batteries and the corresponding price as a set of ordered pairs.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 1RE
The relationship between the number of batteries and the corresponding price expressed as a set of ordered pairs is
Explanation of Solution
Take the first coordinate as the number of batteries in a pack and the second coordinate as the corresponding price.
Obtain the relationship between the number of batteries and price as a set of ordered pairs as shown below.
Hence, the relationship between the number of batteries and the corresponding price expressed as a set of ordered pairs is
c.
The relationship between the number of batteries and the corresponding price as a mapping.
c.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Use the variable x for the number of batteries and y for the price.
Take x values as the 8, 16, 20 and 24.
Take y values as $6.30, $12.32 and $13.99.
Obtain the relationship between the number of batteries and their price as a mapping as shown in Figure 1.
From Figure 1, it can be observed that a pack of 16 batteries and a pack of 24 batteries have the same price $13.99.
d.
The relationship between the number of batteries and the corresponding price as a graph.
d.
![Check Mark](/static/check-mark.png)
Explanation of Solution
Take the number of batteries along the x-axis and the corresponding price along the y-axis.
Plot the points
From Figure 2, it can be observed that a pack of 16 batteries and a pack of 24 batteries have the same price $13.99.
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Chapter 3 Solutions
Algebra And Trigonometry (11th Edition)
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