While shopping online for AA batteries, Masoud found that he could order a pack of 8 batteries for $ 6.30 , a pack of 16 for $ 13.99 , a pack of 20 for $ 12.32 , or a pack of 24 for $ 13.99. Define a relation using number of batteries as input and price as output.. What is the domain and range of the relation? Express the relation as a set of ordered pairs. Express the relation as a mapping. Express the relation as a graph.
While shopping online for AA batteries, Masoud found that he could order a pack of 8 batteries for $ 6.30 , a pack of 16 for $ 13.99 , a pack of 20 for $ 12.32 , or a pack of 24 for $ 13.99. Define a relation using number of batteries as input and price as output.. What is the domain and range of the relation? Express the relation as a set of ordered pairs. Express the relation as a mapping. Express the relation as a graph.
While shopping online for AA batteries, Masoud found that he could order a pack of 8 batteries for
$
6.30
,
a pack of
16
for
$
13.99
,
a pack of
20
for
$
12.32
,
or a pack of
24
for
$
13.99.
Define a relation using number of batteries as input and price as output..
What is the domain and range of the relation?
Express the relation as a set of ordered pairs.
Express the relation as a mapping.
Express the relation as a graph.
(a)
Expert Solution
To determine
The range and domain of a relation, where the relation is defined using number of batteries as input and price as output, with the data Masoud could order a pack of 8 batteries at $6.30, a pack of 16 for $13.99, a pack of 20 for $12.32 and a pack of 24 for $13.99.
Answer to Problem 1RE
Solution:
The domain of the relation is {8,16,20,24}.
The range of the relation is {$6.30,$12.32,$13.99}.
Explanation of Solution
Given Information:
Masoud could order a pack of 8 batteries at $6.30, a pack of 16 for $13.99, a pack of 20 for $12.32 and a pack of 24 for $13.99.
Explanation:
The relation is defined as the number of batteries as input and price as output.
The domain is a set of inputs for relation.
Here, the number of batteries is an input for relation.
Therefore, the domain is {8,16,20,24}.
The range is a set of outputs for relation.
Here, price is an output for relation.
Therefore, the range is {$6.30,$12.32,$13.99}.
(b)
Expert Solution
To determine
The relation as a set of order pairs, where the relation is defined using the number of batteries as input and price as output, with the data Masoud could order a pack of 8 batteries at $6.30, a pack of 16 for $13.99, a pack of 20 for $12.32 and a pack of 24 for $13.99.
Answer to Problem 1RE
Solution:
The relation as set of order pairs is {(8,6.30),(16,13.99),(20,12.32),(24,13.99)}.
Explanation of Solution
Given Information:
Masoud could order a pack of 8 batteries at $6.30, a pack of 16 for $13.99, a pack of 20 for $12.32 and a pack of 24 for $13.99.
Explanation:
A set of order pairs consists of input, number of batteries, as first coordinate and output, price, as second coordinate.
In the relation R={(x,y)|x∈X,y∈Y}, the domain is the set of all inputs, x, and range is the set of all outputs, y.
Therefore, the relation as a set of order pairs is {(8,6.30),(16,13.99),(20,12.32),(24,13.99)}.
(c)
Expert Solution
To determine
The relation as mapping, where the relation is defined using the number of batteries as input and price as output, with the data Masoud could order a pack of 8 batteries at $6.30, a pack of 16 for $13.99, a pack of 20 for $12.32 and a pack of 24 for $13.99.
Answer to Problem 1RE
Solution:
The mapping is given by
Explanation of Solution
Given Information:
Masoud could order a pack of 8 batteries at $6.30, a pack of 16 for $13.99, a pack of 20 for $12.32 and a pack of 24 for $13.99.
Explanation:
For mapping, consider n for number of batteries and p for price.
Thus, the mapping is:
(d)
Expert Solution
To determine
To graph: A scatter plot of a relation, where the relation is defined using the number of batteries as input and price as output, with the data Masoud could order a pack of 8 batteries at $6.30, a pack of 16 for $13.99, a pack of 20 for $12.32 and a pack of 24 for $13.99.
Explanation of Solution
Given Information:
Masoud could order a pack of 8 batteries at $6.30, a pack of 16 for $13.99, a pack of 20 for $12.32 and a pack of 24 for $13.99.
Graph:
The scatter plot of given data is:
Interpretation:
The scatter plot represents thenumber of batteries as the independent variable and price in dollars as the dependent variable.
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RELATIONS-DOMAIN, RANGE AND CO-DOMAIN (RELATIONS AND FUNCTIONS CBSE/ ISC MATHS); Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=u4IQh46VoU4;License: Standard YouTube License, CC-BY