the table shows the circumference of a tree in centimeters, $y$, at $x$ years.

choose the function that represents the data.

$y = \frac{x}{2.7}$

$y = 2.7x$

$y = 2.7^x$

$y = 2.7x^2$

Question

the table shows the circumference of a tree in centimeters, $y$, at $x$ years.

choose the function that represents the data.

$y = \frac{x}{2.7}$

$y = 2.7x$

$y = 2.7^x$

$y = 2.7x^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Functions", "Rate of Change" ], "new_concepts": [], "current_concepts": [ "Linear Functions", "Rate of Change", "Function Modeling" ] } ## Calculate the rate of change $$ m = \frac{13.5 - 0}{5 - 0} = 2.7 $$ ## Determine the y-intercept $$ b = 0 $$ ## Formulate the linear equation $$ y = 2.7x $$

(A) $y = \frac{x}{2.7}$

(B) $y = 2.7x$

(C) $y = 2.7^x$

(D) $y = 2.7x^2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate the rate of change

Determine the y-intercept

Formulate the linear equation

Answer: