the population of a town is increasing by 612 people per year. state whether this growth is linear or exponential. if the population is 1300 today, what will the population be in five years?

is the population growth linear or exponential?
linear
exponential

Question

the population of a town is increasing by 612 people per year. state whether this growth is linear or exponential. if the population is 1300 today, what will the population be in five years?

is the population growth linear or exponential?
linear
exponential

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Growth" ], "new_concepts": [], "current_concepts": [ "Linear Growth", "Exponential Growth" ] } ## Identify the growth type $$ \text{Growth rate} = 612 \text{ people per year (constant absolute change)} \implies \text{Linear Growth} $$ ## Calculate the future population $$ \begin{aligned} P(t) &= P_0 + r \cdot t \ P(5) &= 1300 + 612 \cdot 5 \ P(5) &= 1300 + 3060 \ P(5) &= 4360 \end{aligned} $$

linear

exponential

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

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Question

Explanation:

Identify the growth type

Calculate the future population

Answer: