Marianne has decided to track the number of books she reads to her little sister. The relationship between the weeks, w, and the total number of books that have been read, b, is shown in the table below.
Number of weeks Number of Books
0 2
1 6
2 10
3 14
4 18
Which of these correctly represents this situation?
A.
The independent variable is the number of books, the dependent variable is the number of weeks, and the equation is .
B.
The independent variable is the number of the weeks, the dependent variable is the number of books, and the equation is .
C.
The independent variable is the number of books, the dependent variable is the number of weeks, and the equation is .
D.
The independent variable is the number of weeks, the dependent variable is the number of books, and the equation is .
cheers
? i need the answer
To determine the correct representation of the situation, we need to understand the relationship between the independent and dependent variables. The independent variable, also known as the input or x-variable, is the variable that is controlled or manipulated. The dependent variable, also known as the output or y-variable, is the variable that responds to changes in the independent variable.
In this case, the independent variable is the number of weeks since Marianne started tracking. This variable is being controlled or manipulated by Marianne herself. The dependent variable is the number of books that have been read. This variable responds to the changes in the independent variable, as Marianne reads more books over time.
Looking at the given table, we can see that as the number of weeks increases, the total number of books Marianne reads also increases. This indicates that the number of books is dependent on the number of weeks. Therefore, the correct representation would be:
D. The independent variable is the number of weeks, the dependent variable is the number of books, and the equation is .
It's important to note that the table does not provide an equation to directly relate the independent and dependent variables. If we wanted to find an equation to represent this situation, we would need additional information or data.