the graph below shows the number of houses sold over x days. what is the average rate of change from day 2 to day 10?

house sales
number of houses sold
number of days

$-\frac{4}{3}$

$-\frac{3}{4}$

Question

the graph below shows the number of houses sold over x days. what is the average rate of change from day 2 to day 10?

house sales
number of houses sold
number of days

$-\frac{4}{3}$

$-\frac{3}{4}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Average Rate of Change" ], "new_concepts": [], "current_concepts": [ "Average Rate of Change" ] } ## Identify the coordinates from the graph Using the *Average Rate of Change* knowledge point $$ \begin{aligned} &\text{At day } 2: (x_1, y_1) = (2, 8)\ &\text{At day } 10: (x_2, y_2) = (10, 2) \end{aligned} $$ ## Calculate the average rate of change Using the *Average Rate of Change* knowledge point $$ \begin{aligned} \text{Average Rate of Change} &= \frac{y_2 - y_1}{x_2 - x_1} \ &= \frac{2 - 8}{10 - 2} \ &= \frac{-6}{8} \ &= -\frac{3}{4} \end{aligned} $$

(A) $-\frac{4}{3}$

(B) $-\frac{3}{4}$

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

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QUESTION IMAGE

Question

Explanation:

Identify the coordinates from the graph

Calculate the average rate of change

Answer: