the population of a town is increasing by 602 people per year. state whether this growth is linear or exponential. if the population is 1100 today, what will the population be in three years?

is the population growth linear or exponential?
exponential
linear

Question

the population of a town is increasing by 602 people per year. state whether this growth is linear or exponential. if the population is 1100 today, what will the population be in three years?

is the population growth linear or exponential?
exponential
linear

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Growth" ], "new_concepts": [], "current_concepts": [ "Linear Growth", "Population Trend Prediction" ] } ## Determine the type of growth $$ \text{Constant absolute increase} = 602 \text{ people/year} \implies \text{Linear Growth} $$ ## Calculate the population in three years $$ \begin{aligned} P(t) &= P_0 + r \cdot t \ P(3) &= 1100 + 602 \cdot 3 \ P(3) &= 1100 + 1806 \ P(3) &= 2906 \end{aligned} $$ ## Question 1 exponential linear ## Question 2 The population in three years will be 2906 people. { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Linear Growth" ] }

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Explanation:

Determine the type of growth

Calculate the population in three years

Answer:

Question 1

Question 2