select the correct answer from each drop-down menu.

a function is represented by the table.

$\begin{array}{|c|c|}\hline x & y \\\hline 3 & -2 \\\hline 5 & -26 \\\hline 7 & -50 \\\hline\end{array}$

the rate of change of the function represented in the table is choose an answer. for the given $x$- and $y$-values, the function is choose an answer.

Question

select the correct answer from each drop-down menu.

a function is represented by the table.

$\begin{array}{|c|c|}\hline x & y \\\hline 3 & -2 \\\hline 5 & -26 \\\hline 7 & -50 \\\hline\end{array}$

the rate of change of the function represented in the table is choose an answer. for the given $x$- and $y$-values, the function is choose an answer.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Rate of Change Analysis", "Linear vs Nonlinear Functions" ], "new_concepts": [], "current_concepts": [ "Rate of Change Analysis", "Linear vs Nonlinear Functions" ] } ## Calculate the rate of change $$ \begin{aligned} &\text{Rate of change } (m_1) = \frac{-26 - (-2)}{5 - 3} = \frac{-24}{2} = -12\ &\text{Rate of change } (m_2) = \frac{-50 - (-26)}{7 - 5} = \frac{-24}{2} = -12 \end{aligned} $$ ## Determine the function type $$ \begin{aligned} &m_1 = m_2 = -12 \implies \text{constant rate of change} \implies \text{linear} \end{aligned} $$ Select the correct answer from each drop-down menu. A function is represented by the table. | $x$ | $y$ | |---|---| | 3 | -2 | | 5 | -26 | | 7 | -50 | The rate of change of the function represented in the table is -12. For the given $x$- and $y$-values, the function is linear. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear vs Nonlinear Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the rate of change

Determine the function type

Answer:

\(x\)	\(y\)
5	-26
7	-50