Concept explainers
a.
To find: the relationship between the number of months and the number of subscribers.
a.
Explanation of Solution
Given information:
Jayden’s blog details are as follows:
Numnre of months | Number of subscribers |
0 | 48 |
1 | 56 |
2 | 64 |
3 | 72 |
4 | 80 |
Calculation:
From the table it is observed that number of subscribers increases as the months passes by.
The number of subscribers increases by multiple of
b.
To find: which column represents the dependent and independent variable.
b.
Answer to Problem 1MP
Number of subscribers represents the dependent variables.
Number of months represents the independent variables.
Explanation of Solution
Dependent variable: dependent variable is a variable whose value depends on the value of another variable.
Independent variable: dependent variable is a variable whose value does not depends on the value of another variable.
In the table, the number of subscribers depends on the number of months.
Therefore the number of subscribers column represents the dependent variables and number of months column represents the independent variables.
c.
whether the relation is a function.
c.
Answer to Problem 1MP
Relation is a function.
Explanation of Solution
Given information:
The given table is,
Numnre of months | Number of subscribers |
0 | 48 |
1 | 56 |
2 | 64 |
3 | 72 |
4 | 80 |
The independent variables are also known as inputs and the dependent variables are also known as the outputs.
From the table, for each value of input, there is exactly one value of output therefore the given relationship between number of months and the number of subscribers.
d.
To find: the equation to represent the relationship.
d.
Answer to Problem 1MP
The equation is,
Explanation of Solution
Given information:
Jayden’s blog details are as follows:
Numnre of months | Number of subscribers |
0 | 48 |
1 | 56 |
2 | 64 |
3 | 72 |
4 | 80 |
Let
Calculation:
From the table it is observed that number of subscribers increases as the months passes by.
The number of subscribers increases by multiple of
The pattern in the relationship is written in the form of an equation as follows:
e.
To find: expand the table to
e.
Answer to Problem 1MP
Number of subscribers for
Explanation of Solution
Let
The relationship between numbers of months and the number of subscribers is represented by the equation,
Therefore, the table can be expand to
months as follows:
Numnre of months (x) | Number of subscribers (y) |
0 | 48 |
1 | 56 |
2 | 64 |
3 | 72 |
4 | 80 |
5 | 88 |
6 | 96 |
7 | 104 |
8 | 112 |
The number of subscribers for
f.
To find: the method to find the number of subscribers after a year. .
f.
Explanation of Solution
The relationship between numbers of months and the number of subscribers is represented by the equation,
The above equation can be used up to
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High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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