Question

May ALG 1A Unit 5 Modified Discussion

Answer 1

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:

$\mathbf{Step\to Blocks}$

$\mathbf{1 \to 2}$

$\mathbf{2 \to 6}$

$\mathbf{3 \to 12}$

$\mathbf{4 \to 20}$

Hence, question 3 represents a nonlinear function

Read more about patterns and rates at:

brainly.com/question/22386004