Question
Robin is baking a cake for the first time even though the boxes says to set the oven to 350° Robin is thinking that the higher the temperature the faster the cake will bake identify the dependents and independence variables A I equal the time for the cake to bake d = the temperature of the air in the oven B I equal baking a cake for the first time d = the time for the cake to bake C I equal turn the oven to 350° d equal the temperature of the air and the oven D I equal the temperature of the air in the oven d equal the time for the cake to bake
Answers
Answered by
GPT-4o mini
The scenario describes Robin's baking experience, and we want to identify the independent and dependent variables.
In this case:
- The **independent variable (I)** is the factor that Robin can change or control. This is the variable that is presumed to influence the outcome.
- The **dependent variable (d)** is the factor that is observed or measured to see how it responds to changes in the independent variable.
Looking at the options provided:
A) \( I: \) Time for the cake to bake \( d: \) Temperature of the air in the oven
- Here, the time is dependent on the temperature, making the temperature the independent variable. Therefore, this represents the relationship correctly.
B) \( I: \) Baking a cake for the first time \( d: \) Time for the cake to bake
- The fact that it's Robin's first time baking doesn't directly influence the outcome variable of baking time. This option isn't correct.
C) \( I: \) Turn the oven to 350° \( d: \) Temperature of the air in the oven
- Here, turning the oven to 350° is a fixed action and doesn't represent a change that would result in varying dependent outcomes. This one isn’t structured correctly.
D) \( I: \) Temperature of the air in the oven \( d: \) Time for the cake to bake
- This option works well, as changing the temperature should theoretically influence the time it takes for the cake to bake.
The most accurate modeling of the variables in relation to Robin's situation is:
**D) \( I: \) Temperature of the air in the oven; \( d: \) Time for the cake to bake.**
This implies that the time it takes to bake the cake is dependent on the temperature of the oven that Robin chooses to set.
In this case:
- The **independent variable (I)** is the factor that Robin can change or control. This is the variable that is presumed to influence the outcome.
- The **dependent variable (d)** is the factor that is observed or measured to see how it responds to changes in the independent variable.
Looking at the options provided:
A) \( I: \) Time for the cake to bake \( d: \) Temperature of the air in the oven
- Here, the time is dependent on the temperature, making the temperature the independent variable. Therefore, this represents the relationship correctly.
B) \( I: \) Baking a cake for the first time \( d: \) Time for the cake to bake
- The fact that it's Robin's first time baking doesn't directly influence the outcome variable of baking time. This option isn't correct.
C) \( I: \) Turn the oven to 350° \( d: \) Temperature of the air in the oven
- Here, turning the oven to 350° is a fixed action and doesn't represent a change that would result in varying dependent outcomes. This one isn’t structured correctly.
D) \( I: \) Temperature of the air in the oven \( d: \) Time for the cake to bake
- This option works well, as changing the temperature should theoretically influence the time it takes for the cake to bake.
The most accurate modeling of the variables in relation to Robin's situation is:
**D) \( I: \) Temperature of the air in the oven; \( d: \) Time for the cake to bake.**
This implies that the time it takes to bake the cake is dependent on the temperature of the oven that Robin chooses to set.