question 19 points 2

find the function which has greater rate of change.

$y = 5x + 2$

$y = 3x - 5$

Question

question 19 points 2

find the function which has greater rate of change.

$y = 5x + 2$

$y = 3x - 5$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Slope-Intercept Form", "Slope of a Linear Function", "Rate of Change Comparison" ], "new_concepts": [], "current_concepts": [ "Slope-Intercept Form", "Slope of a Linear Function", "Rate of Change Comparison" ] } ## Identify the rate of change for each linear function $$ \begin{aligned} &\text{For } y = 5x + 2: \quad m_1 = 5 \ &\text{For } y = 3x - 5: \quad m_2 = 3 \end{aligned} $$ ## Compare the rates of change $$ 5 > 3 \implies m_1 > m_2 $$

(A) $y = 5x + 2$

(B) $y = 3x - 5$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Rate of Change Comparison" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the rate of change for each linear function

Compare the rates of change

Answer: