Answered

From personal advice to professional guidance, IDNLearn.com has the answers you seek. Join our knowledgeable community to find the answers you need for any topic or issue.

Which of the following is the range of the function based on the input-output table below?

\begin{tabular}{|c|c|}
\hline
Hours of training & Pay per month \\
\hline
10 & 1000 \\
\hline
20 & 1100 \\
\hline
30 & 1200 \\
\hline
40 & 1300 \\
\hline
50 & 1400 \\
\hline
60 & 1500 \\
\hline
70 & 1600 \\
\hline
\end{tabular}

A. [tex]$\{70, 1600, 60, 1500, 50, 1400, 40, 1300\}$[/tex]

B. [tex]$\{10, 1000, 20, 1100, 30, 1200\}$[/tex]

C. [tex]$\{1000, 1100, 1200, 1300, 1400, 1500, 1600\}$[/tex]

D. [tex]$\{10, 20, 30, 40, 50, 60, 70\}$[/tex]

Sagot :

GinnyAnsweridn
To determine the range of a function from an input-output table, we need to focus on the set of output values provided in the table.

In the given input-output table:

[tex]\[ \begin{array}{|c|c|} \hline \text{Hours of training} & \text{Pay per month} \\ \hline 10 & 1000 \\ \hline 20 & 1100 \\ \hline 30 & 1200 \\ \hline 40 & 1300 \\ \hline 50 & 1400 \\ \hline 60 & 1500 \\ \hline 70 & 1600 \\ \hline \end{array} \][/tex]

The "Hours of training" column lists the input values, while the "Pay per month" column lists the output values. According to the table, the "Pay per month" values are:

- 1000
- 1100
- 1200
- 1300
- 1400
- 1500
- 1600

The range of a function is defined as the set of all possible output values. Here, these output values are the "Pay per month" amounts.

Therefore, the range of the function is:

[tex]\(\{1000, 1100, 1200, 1300, 1400, 1500, 1600\}\)[/tex]

So, the correct answer is:

C. [tex]\(\{1000, 1100, 1200, 1300, 1400, 1500, 1600\}\)[/tex]
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.