A pattern that increases or decreases at a constant rate is a linear function
- Question 1 represents a linear function
- Question 2 and 3 represent a nonlinear function
Question 1
From the table, we see that:
- As x increases by 25,
- The value of y decreases by 1
The rate of increment/decrement is constant for both variables.
Hence, question 1 represents a linear function
Question 2
From the table, we see that:
- As x increases by 2,
- The value of y increases at different rates
The rate of increment is not constant for variable y.
Hence, question 2 represents a nonlinear function
Question 2
From the table, we see that:
- As the steps (i.e. x) increases by 1,
- The number of blocks (i.e. the value of y) increases at different rates
The rate of increment is not constant for variable y.
The complete table is:
[tex]\mathbf{Step\to Blocks}[/tex]
[tex]\mathbf{1 \to 2}[/tex]
[tex]\mathbf{2 \to 6}[/tex]
[tex]\mathbf{3 \to 12}[/tex]
[tex]\mathbf{4 \to 20}[/tex]
Hence, question 3 represents a nonlinear function
Read more about patterns and rates at:
https://brainly.com/question/22386004
