Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The table of data lists input-output values for a function. Complete parts a through c.

a) Is the change in the inputs, [tex]x[/tex], the same? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. Yes, and it is equal to [tex]\square[/tex]
B. No

\begin{tabular}{|c|c|}
\hline
[tex]$x$[/tex] & [tex]$y$[/tex] \\
\hline
-9 & -17 \\
-6 & -11 \\
-3 & -5 \\
0 & 1 \\
3 & 7 \\
6 & 13 \\
9 & 19 \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
To determine if the change in the inputs, [tex]\(x\)[/tex], is consistent, follow these steps:

1. Identify the [tex]\(x\)[/tex] values from the table:
[tex]\[ x = [-9, -6, -3, 0, 3, 6, 9] \][/tex]

2. Calculate the differences between consecutive [tex]\(x\)[/tex] values:
[tex]\[ -6 - (-9) = -6 + 9 = 3 \][/tex]
[tex]\[ -3 - (-6) = -3 + 6 = 3 \][/tex]
[tex]\[ 0 - (-3) = 0 + 3 = 3 \][/tex]
[tex]\[ 3 - 0 = 3 \][/tex]
[tex]\[ 6 - 3 = 3 \][/tex]
[tex]\[ 9 - 6 = 3 \][/tex]

3. Compare the differences to see if they are the same:
[tex]\[ [3, 3, 3, 3, 3, 3] \][/tex]
All the differences between consecutive [tex]\(x\)[/tex] values are [tex]\(3\)[/tex].

Therefore, the change in the inputs [tex]\(x\)[/tex] is the same, and it is equal to [tex]\(3\)[/tex].

So the answer is:
A. Yes, and it is equal to [tex]\(3\)[/tex].
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.