Question

1. the graph shows the amount of money it costs based on the number of tickets. which is the independent variable (iv) and the dependent variable (dv)?

theme park costs
number of tickets is the ______
cost is the ______

1. a recipe for making lemonade shows how much water and lemon juice to use. determine the independent variable and the dependent variable for this recipe.

independent variable: ______
dependent variable: ______

Explanation:

Question 7 Analysis (Identifying Independent and Dependent Variables)

To determine the independent and dependent variables, we use the definition:

• The independent variable (IV) is the one that is manipulated or chosen freely (it does not depend on other variables).
• The dependent variable (DV) is the one that depends on the independent variable (it changes in response to the IV).

Step 1: Analyze the Graph Context

The graph is titled "Theme Park Costs" and shows the relationship between the number of tickets and cost.

Step 2: Identify the Independent Variable

The "number of tickets" is the independent variable because:

• You choose how many tickets to buy (it is the input or manipulated variable).
• The cost depends on how many tickets you purchase.

Step 3: Identify the Dependent Variable

"Cost" is the dependent variable because:

• The cost changes based on the number of tickets (it is the output or response variable).

Final Answer for Question 7

• Number of tickets is the independent variable (IV).
• Cost is the dependent variable (DV).

Question 9 Analysis (Recipe Example)

For a recipe (e.g., "Mix 2 cups of flour with 1 cup of water to make dough"):

Step 1: Define Variables

• Independent Variable (IV): The ingredient you control (e.g., "amount of flour" or "amount of water"—whichever is the manipulated quantity).
• Dependent Variable (DV): The resulting quantity that depends on the IV (e.g., "amount of dough" or "consistency of the dough").

Example (Using Flour and Dough):

• Independent Variable: Amount of flour (you choose how much flour to use).
• Dependent Variable: Amount of dough (the dough quantity depends on the flour used).

Final Answer for Question 9 (General Recipe Example)

• Independent Variable: Amount of a key ingredient (e.g., flour, water, sugar—whichever is manipulated).
• Dependent Variable: Resulting product quantity/quality (e.g., dough, batter, or taste—depends on the ingredient).

Note for Question 10+

Since the image for Questions 10+ is unclear, please provide a clearer view or description of the problem (e.g., the formula, graph, or context) to analyze them.

Answer:

Question 7 Analysis (Identifying Independent and Dependent Variables)

To determine the independent and dependent variables, we use the definition:

• The independent variable (IV) is the one that is manipulated or chosen freely (it does not depend on other variables).
• The dependent variable (DV) is the one that depends on the independent variable (it changes in response to the IV).

Step 1: Analyze the Graph Context

The graph is titled "Theme Park Costs" and shows the relationship between the number of tickets and cost.

Step 2: Identify the Independent Variable

The "number of tickets" is the independent variable because:

• You choose how many tickets to buy (it is the input or manipulated variable).
• The cost depends on how many tickets you purchase.

Step 3: Identify the Dependent Variable

"Cost" is the dependent variable because:

• The cost changes based on the number of tickets (it is the output or response variable).

Final Answer for Question 7

• Number of tickets is the independent variable (IV).
• Cost is the dependent variable (DV).

Question 9 Analysis (Recipe Example)

For a recipe (e.g., "Mix 2 cups of flour with 1 cup of water to make dough"):

Step 1: Define Variables

• Independent Variable (IV): The ingredient you control (e.g., "amount of flour" or "amount of water"—whichever is the manipulated quantity).
• Dependent Variable (DV): The resulting quantity that depends on the IV (e.g., "amount of dough" or "consistency of the dough").

Example (Using Flour and Dough):

• Independent Variable: Amount of flour (you choose how much flour to use).
• Dependent Variable: Amount of dough (the dough quantity depends on the flour used).

Final Answer for Question 9 (General Recipe Example)

• Independent Variable: Amount of a key ingredient (e.g., flour, water, sugar—whichever is manipulated).
• Dependent Variable: Resulting product quantity/quality (e.g., dough, batter, or taste—depends on the ingredient).

Note for Question 10+

Since the image for Questions 10+ is unclear, please provide a clearer view or description of the problem (e.g., the formula, graph, or context) to analyze them.