Answered

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Length Conversion

\begin{tabular}{|c|c|}
\hline
Inches, [tex]$x$[/tex] & Centimeters, [tex]$y$[/tex] \\
\hline
2 & 5.08 \\
\hline
4 & 10.16 \\
\hline
7 & 17.78 \\
\hline
10 & 25.4 \\
\hline
13 & 33.02 \\
\hline
\end{tabular}

What is the range of the relation of centimeters as a function of inches?

A. [tex]$\{5.08, 10.16, 17.78, 25.4, 33.02\}$[/tex]

B. All positive integers

C. [tex]$x \geq 0$[/tex]

D. [tex]$y \geq 0$[/tex]

Sagot :

GinnyAnswer
To determine the range of the relation of centimeters as a function of inches, we need to look at the given table which shows the conversion from inches to centimeters.

The table provides the following pairs:

- 2 inches corresponds to [tex]\(5.08\)[/tex] centimeters
- 4 inches corresponds to [tex]\(10.16\)[/tex] centimeters
- 7 inches corresponds to [tex]\(17.78\)[/tex] centimeters
- 10 inches corresponds to [tex]\(25.4\)[/tex] centimeters
- 13 inches corresponds to [tex]\(33.02\)[/tex] centimeters

In this context, the range of a function consists of all possible [tex]\(y\)[/tex]-values (centimeters) that correspond to the given [tex]\(x\)[/tex]-values (inches).

From the table, the [tex]\(y\)[/tex]-values (centimeters) are:
[tex]\[ 5.08, 10.16, 17.78, 25.4, 33.02 \][/tex]

Thus, the range of the relation, which is the set of all these [tex]\(y\)[/tex]-values, is:
[tex]\[ \{5.08, 10.16, 17.78, 25.4, 33.02\} \][/tex]

Therefore, the range of the relation of centimeters as a function of inches is:
[tex]\[ \{5.08, 10.16, 17.78, 25.4, 33.02\} \][/tex]
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