The image you uploaded shows a math test with questions involving graphs, rates of change, and interpreting formulas. Here's a breakdown of the tasks on the sheet:

1. Graphs with Constant or Varying Rate of Change:

• The first part asks you to determine if each graph shows a function with a constant or varying rate of change.
  • Constant rate of change means the function increases or decreases by the same amount at each interval, typically represented by a straight line.
  • Varying rate of change means the rate of increase or decrease changes at different intervals, often represented by a curve.

2. Ms. Hawks' Rug Areas:

• A table with side lengths of rugs and their corresponding areas is provided.
• The question asks you to determine if the function represented by the values in the table shows a linear or nonlinear relationship.
  • A linear function will have a constant rate of change (a straight line when graphed).
  • A nonlinear function will have a varying rate of change.

3. Mrs. Vargas' Baby Bottle and Formula:

• An equation, $y = 12x + 8$, models the total cost of a baby bottle and formula, where $x$ is the number of containers of formula.
  • The question asks for the rate of change and the initial value in this situation.
    • Rate of change refers to how the cost changes as the number of containers of formula changes.
    • Initial value represents the cost when no formula containers are purchased, which would just be the cost of the bottle.

Answering the Questions:

• Question 5: The graphs show different functions. You’ll identify each graph's rate of change (constant or varying).
• Question 6: Analyze the table of side lengths and areas. If the side lengths and areas grow in a predictable way (like a consistent multiplier), the relationship is likely linear.
• Question 7: For the equation $y = 12x + 8$, the rate of change is 12 (the cost per container of formula), and the initial value is 8 (the cost of the bottle).

Would you like to discuss any specific question in more detail, or should I walk you through the answers step by step?