Relation 1
Relation 2
Relation 3
Relation 4
5
31
2
7
16
4
6
28
8
20
5
7
7
29
4
9
30
8
22
5
9
40
6
11
9
19
6
3
10
50
Looking at the 4 tastes, answer the following questions
(points)
A Which Cable(s) do not represent a function?
8. Which table(s) represent a linear relationship/?
G. Which ble(s) show a decreasing relationship/
#Relation 2 and 3
* Relation 2
#Retion 3 and 4
# Relation 3
#Relation 1 and 4
#Relation 2 and 4
# Plefetion 4
#Ratio 1
To determine which cable(s) do not represent a function, we need to understand the definition of a function. A function is a relation in which each input has exactly one output. In other words, for each value of the independent variable (input), there should be a unique corresponding value of the dependent variable (output).
Looking at the provided data, we can analyze each cable to see if they meet the criteria of a function:
Relation 1:
- Inputs: 5, 7, 20, 29, 40, 50
- Outputs: 31, 16, 5, 4, 6, 10
Since each input value has a unique output value, Relation 1 represents a function.
Relation 2:
- Inputs: 8, 28, 7, 4, 8, 5, 4, 5
- Outputs: 6, 8, 7, 6, 8, 7, 9, 9
Relation 2 has repeated input values (4 and 5) which correspond to different output values. Therefore, Relation 2 does not represent a function.
Relation 3:
- Inputs: 6, 2, 22, 40, 11, 3
- Outputs: 28, 7, 5, 9, 9, 10
Since each input value has a unique output value, Relation 3 represents a function.
Relation 4:
- Inputs: 7, 16, 6, 9
- Outputs: 29, 4, 3, 19
Since each input value has a unique output value, Relation 4 represents a function.
Based on the analysis:
A. The cables that do not represent a function are "Relation 2."
To determine which table(s) represent a linear relationship, we need to examine the data and look for a consistent rate of change between the inputs and outputs. A linear relationship is described by a constant rate of change, which means the outputs increase or decrease by the same amount for every change in the inputs.
Analyzing the given data, we can check each relation for a linear relationship:
Relation 1:
- Inputs: 5, 7, 20, 29, 40, 50
- Outputs: 31, 16, 5, 4, 6, 10
The relationship between the inputs and outputs is not consistent. Hence, Relation 1 does not represent a linear relationship.
Relation 2:
- Inputs: 8, 28, 7, 4, 8, 5, 4, 5
- Outputs: 6, 8, 7, 6, 8, 7, 9, 9
The relationship between the inputs and outputs is not consistent. Relation 2 does not represent a linear relationship.
Relation 3:
- Inputs: 6, 2, 22, 40, 11, 3
- Outputs: 28, 7, 5, 9, 9, 10
The relationship between the inputs and outputs is not consistent. Hence, Relation 3 does not represent a linear relationship.
Relation 4:
- Inputs: 7, 16, 6, 9
- Outputs: 29, 4, 3, 19
The relationship between the inputs and outputs is not consistent. Relation 4 does not represent a linear relationship.
Based on the analysis:
8. None of the tables (Relation 1, 2, 3, and 4) represent a linear relationship.
To determine which table(s) show a decreasing relationship, we need to examine the output values and see if they consistently decrease as the input values increase.
Analyzing the given data, we can check each relation for a decreasing relationship:
Relation 1:
- Inputs: 5, 7, 20, 29, 40, 50
- Outputs: 31, 16, 5, 4, 6, 10
The output values do not consistently decrease as the input values increase in Relation 1. Hence, Relation 1 does not show a decreasing relationship.
Relation 2:
- Inputs: 8, 28, 7, 4, 8, 5, 4, 5
- Outputs: 6, 8, 7, 6, 8, 7, 9, 9
The output values do not consistently decrease as the input values increase in Relation 2. Relation 2 does not show a decreasing relationship.
Relation 3:
- Inputs: 6, 2, 22, 40, 11, 3
- Outputs: 28, 7, 5, 9, 9, 10
The output values do not consistently decrease as the input values increase in Relation 3. Relation 3 does not show a decreasing relationship.
Relation 4:
- Inputs: 7, 16, 6, 9
- Outputs: 29, 4, 3, 19
The output values do not consistently decrease as the input values increase in Relation 4. Hence, Relation 4 does not show a decreasing relationship.
Based on the analysis:
G. None of the tables (Relation 1, 2, 3, and 4) show a decreasing relationship.