Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Which statement best describes the function [tex]\( h(t) = 210 - 15t \)[/tex]?

A. [tex]\( h \)[/tex] is the function name; [tex]\( h(t) \)[/tex] is the input, or independent variable; and [tex]\( t \)[/tex] is the output, or dependent variable.

B. [tex]\( h \)[/tex] is the function name; [tex]\( t \)[/tex] is the input, or independent variable; and [tex]\( h(t) \)[/tex] is the output, or dependent variable.

C. [tex]\( t \)[/tex] is the function name; [tex]\( h(t) \)[/tex] is the input, or independent variable; and [tex]\( h \)[/tex] is the output, or dependent variable.

D. [tex]\( t \)[/tex] is the function name; [tex]\( h \)[/tex] is the input, or independent variable; and [tex]\( h(t) \)[/tex] is the output, or dependent variable.

Sagot :

GinnyAnswer
Let's carefully analyze the statement and options given to determine which one best describes the function [tex]\( h(t) = 210 - 15t \)[/tex].

In the standard function notation [tex]\( h(t) \)[/tex], [tex]\( h \)[/tex] is the name of the function, and [tex]\( t \)[/tex] represents the input variable. When we evaluate the function [tex]\( h \)[/tex] at a particular value of [tex]\( t \)[/tex], we get the output [tex]\( h(t) \)[/tex].

To put it more formally:
- [tex]\( h \)[/tex] is the function name.
- [tex]\( t \)[/tex] is the input, or independent variable.
- [tex]\( h(t) \)[/tex] is the output, or dependent variable.

Our task is to identify which statement accurately captures this interpretation:

1. [tex]\( h \)[/tex] is the function name; [tex]\( h(t) \)[/tex] is the input, or independent variable; and [tex]\( t \)[/tex] is the output, or dependent variable.

This statement makes a critical error by labeling [tex]\( h(t) \)[/tex] as the independent variable and [tex]\( t \)[/tex] as the dependent variable, which is incorrect.

2. [tex]\( h \)[/tex] is the function name; [tex]\( t \)[/tex] is the input, or independent variable; and [tex]\( h(t) \)[/tex] is the output, or dependent variable.

This statement is correct. It correctly identifies [tex]\( h \)[/tex] as the function name, [tex]\( t \)[/tex] as the input (independent variable), and [tex]\( h(t) \)[/tex] as the output (dependent variable).

3. [tex]\( t \)[/tex] is the function name; [tex]\( h(t) \)[/tex] is the input, or independent variable; and [tex]\( h \)[/tex] is the output, or dependent variable.

This statement incorrectly labels [tex]\( t \)[/tex] as the function name and swaps the roles of [tex]\( h(t) \)[/tex] and [tex]\( h \)[/tex].

4. [tex]\( t \)[/tex] is the function name; [tex]\( h \)[/tex] is the input, or independent variable; and [tex]\( h(t) \)[/tex] is the output, or dependent variable.

This statement also incorrectly identifies [tex]\( t \)[/tex] as the function name and labels [tex]\( h \)[/tex] as the independent variable.

Thus, the statement that best describes the function [tex]\( h(t) = 210 - 15t \)[/tex] is:

[tex]\[ \boxed{\text{h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.}} \][/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.