Which Statement Best Describes The Function { H(t) = 210 - 15t $}$?A. { H $}$ Is The Function Name; { H(t) $}$ Is The Input, Or Independent Variable; And { T $}$ Is The Output, Or Dependent Variable.B.

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When it comes to mathematical functions, notation can be a crucial aspect of understanding the relationship between variables. In this article, we will delve into the world of function notation and explore the statement { h(t) = 210 - 15t }. By examining the components of this statement, we can gain a deeper understanding of the function and its variables.

What is a Function?

A function is a relation between a set of inputs, called the domain, and a set of possible outputs, called the range. It is a way of describing a relationship between variables, where each input corresponds to exactly one output. In mathematical notation, a function is often represented as { f(x) = y $}$, where { f $}$ is the function name, { x $}$ is the input or independent variable, and { y $}$ is the output or dependent variable.

Breaking Down the Statement

Now that we have a basic understanding of functions, let's break down the statement { h(t) = 210 - 15t $}$. This statement can be divided into three main components:

  • Function Name: The function name is { h $}$. This is the name given to the function, which can be used to refer to it in equations and other mathematical expressions.
  • Input or Independent Variable: The input or independent variable is { t $}$. This is the variable that is input into the function, and it determines the output of the function.
  • Output or Dependent Variable: The output or dependent variable is not explicitly stated in the equation, but it can be found by plugging in a value for { t $}$ and solving for the result.

Analyzing the Statement

Now that we have broken down the statement, let's analyze it further. The function { h(t) = 210 - 15t $}$ is a linear function, which means that it has a constant rate of change. The graph of this function would be a straight line with a negative slope.

Conclusion

In conclusion, the statement { h(t) = 210 - 15t $}$ describes a linear function with a function name of { h $}$, an input or independent variable of { t $}$, and an output or dependent variable that can be found by plugging in a value for { t $}$ and solving for the result.

Which Statement Best Describes the Function?

Based on our analysis, we can now determine which statement best describes the function { h(t) = 210 - 15t $}$.

A. { h $}$ is the function name; { h(t) $}$ is the input, or independent variable; and { t $}$ is the output, or dependent variable.

This statement is incorrect because { h(t) $}$ is the function notation, not the input variable.

B. { h $}$ is the function name; { t $}$ is the input, or independent variable; and { h(t) $}$ is the output, or dependent variable.

This statement is correct because { h $}$ is the function name, { t $}$ is the input or independent variable, and { h(t) $}$ is the output or dependent variable.

Final Thoughts

In conclusion, the statement { h(t) = 210 - 15t $}$ describes a linear function with a function name of { h $}$, an input or independent variable of { t $}$, and an output or dependent variable that can be found by plugging in a value for { t $}$ and solving for the result. By understanding the components of this statement, we can gain a deeper understanding of the function and its variables.

Understanding Function Notation: A Closer Look at the Statement

What is a Function?

A function is a relation between a set of inputs, called the domain, and a set of possible outputs, called the range. It is a way of describing a relationship between variables, where each input corresponds to exactly one output. In mathematical notation, a function is often represented as { f(x) = y $}$, where { f $}$ is the function name, { x $}$ is the input or independent variable, and { y $}$ is the output or dependent variable.

Breaking Down the Statement

Now that we have a basic understanding of functions, let's break down the statement { h(t) = 210 - 15t $}$. This statement can be divided into three main components:

  • Function Name: The function name is { h $}$. This is the name given to the function, which can be used to refer to it in equations and other mathematical expressions.
  • Input or Independent Variable: The input or independent variable is { t $}$. This is the variable that is input into the function, and it determines the output of the function.
  • Output or Dependent Variable: The output or dependent variable is not explicitly stated in the equation, but it can be found by plugging in a value for { t $}$ and solving for the result.

Analyzing the Statement

Now that we have broken down the statement, let's analyze it further. The function { h(t) = 210 - 15t $}$ is a linear function, which means that it has a constant rate of change. The graph of this function would be a straight line with a negative slope.

Conclusion

In conclusion, the statement { h(t) = 210 - 15t $}$ describes a linear function with a function name of { h $}$, an input or independent variable of { t $}$, and an output or dependent variable that can be found by plugging in a value for { t $}$ and solving for the result.

Which Statement Best Describes the Function?

Based on our analysis, we can now determine which statement best describes the function { h(t) = 210 - 15t $}$.

A. { h $}$ is the function name; { h(t) $}$ is the input, or independent variable; and { t $}$ is the output, or dependent variable.

This statement is incorrect because { h(t) $}$ is the function notation, not the input variable.

B. { h $}$ is the function name; { t $}$ is the input, or independent variable; and { h(t) $}$ is the output, or dependent variable.

This statement is correct because { h $}$ is the function name, { t $}$ is the input or independent variable, and { h(t) $}$ is the output or dependent variable.

Final Thoughts

In our previous article, we explored the statement { h(t) = 210 - 15t $}$ and broke down its components. We also analyzed the function and determined which statement best describes it. In this article, we will answer some frequently asked questions about function notation and the statement { h(t) = 210 - 15t $}$.

Q: What is function notation?

A: Function notation is a way of representing a function using mathematical symbols. It is often represented as { f(x) = y $}$, where { f $}$ is the function name, { x $}$ is the input or independent variable, and { y $}$ is the output or dependent variable.

Q: What is the difference between the function name and the function notation?

A: The function name is the name given to the function, while the function notation is the way of representing the function using mathematical symbols. For example, in the statement { h(t) = 210 - 15t $}$, { h $}$ is the function name, while { h(t) $}$ is the function notation.

Q: What is the input or independent variable?

A: The input or independent variable is the variable that is input into the function, and it determines the output of the function. In the statement { h(t) = 210 - 15t $}$, the input or independent variable is { t $}$.

Q: What is the output or dependent variable?

A: The output or dependent variable is the result of the function, which can be found by plugging in a value for the input or independent variable and solving for the result. In the statement { h(t) = 210 - 15t $}$, the output or dependent variable is not explicitly stated, but it can be found by plugging in a value for { t $}$ and solving for the result.

Q: What type of function is { h(t) = 210 - 15t $}$?

A: The function { h(t) = 210 - 15t $}$ is a linear function, which means that it has a constant rate of change. The graph of this function would be a straight line with a negative slope.

Q: How can I determine the output or dependent variable of the function?

A: To determine the output or dependent variable of the function, you can plug in a value for the input or independent variable and solve for the result. For example, if you plug in { t = 5 $}$ into the function { h(t) = 210 - 15t $}$, you would get { h(5) = 210 - 15(5) = 210 - 75 = 135 $}$.

Q: What is the significance of the function name?

A: The function name is the name given to the function, which can be used to refer to it in equations and other mathematical expressions. In the statement { h(t) = 210 - 15t $}$, the function name is { h $}$.

Q: Can I use the function notation to find the output or dependent variable?

A: Yes, you can use the function notation to find the output or dependent variable. For example, if you have the function notation { h(t) = 210 - 15t $}$, you can plug in a value for { t $}$ and solve for the result to find the output or dependent variable.

Conclusion

In conclusion, function notation is a way of representing a function using mathematical symbols. The function name is the name given to the function, while the function notation is the way of representing the function using mathematical symbols. The input or independent variable is the variable that is input into the function, and it determines the output of the function. The output or dependent variable is the result of the function, which can be found by plugging in a value for the input or independent variable and solving for the result. By understanding function notation and the statement { h(t) = 210 - 15t $}$, we can gain a deeper understanding of the function and its variables.

Q&A: Understanding Function Notation and the Statement { h(t) = 210 - 15t $}$

Q: What is function notation?

A: Function notation is a way of representing a function using mathematical symbols. It is often represented as { f(x) = y $}$, where { f $}$ is the function name, { x $}$ is the input or independent variable, and { y $}$ is the output or dependent variable.

Q: What is the difference between the function name and the function notation?

A: The function name is the name given to the function, while the function notation is the way of representing the function using mathematical symbols. For example, in the statement { h(t) = 210 - 15t $}$, { h $}$ is the function name, while { h(t) $}$ is the function notation.

Q: What is the input or independent variable?

A: The input or independent variable is the variable that is input into the function, and it determines the output of the function. In the statement { h(t) = 210 - 15t $}$, the input or independent variable is { t $}$.

Q: What is the output or dependent variable?

A: The output or dependent variable is the result of the function, which can be found by plugging in a value for the input or independent variable and solving for the result. In the statement { h(t) = 210 - 15t $}$, the output or dependent variable is not explicitly stated, but it can be found by plugging in a value for { t $}$ and solving for the result.

Q: What type of function is { h(t) = 210 - 15t $}$?

A: The function { h(t) = 210 - 15t $}$ is a linear function, which means that it has a constant rate of change. The graph of this function would be a straight line with a negative slope.

Q: How can I determine the output or dependent variable of the function?

A: To determine the output or dependent variable of the function, you can plug in a value for the input or independent variable and solve for the result. For example, if you plug in { t = 5 $}$ into the function { h(t) = 210 - 15t $}$, you would get { h(5) = 210 - 15(5) = 210 - 75 = 135 $}$.

Q: What is the significance of the function name?

A: The function name is the name given to the function, which can be used to refer to it in equations and other mathematical expressions. In the statement { h(t) = 210 - 15t $}$, the function name is { h $}$.

Q: Can I use the function notation to find the output or dependent variable?

A: Yes, you can use the function notation to find the output or dependent variable. For example, if you have the function notation { h(t) = 210 - 15t $}$, you can plug in a value for { t $}$ and solve for the result to find the output or dependent variable.

Conclusion

In conclusion, function notation is a way of representing a function using mathematical symbols. The function name is the name given to the function, while the function notation is the way of representing the function using mathematical symbols. The input or independent variable is the variable that is input into the function, and it determines the output of the function. The output or dependent variable is the result of the function, which can be found by plugging in a value for the input or independent variable and solving for the result. By understanding function notation and the statement { h(t) = 210 - 15t $}$, we can gain a deeper understanding of the function and its variables.