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state whether the growth (or decay) is linear or exponential, and answe…

Question

state whether the growth (or decay) is linear or exponential, and answer the associated question.

the value of a house is increasing by $2500 per year. if it is worth $120,000 today, what will it be worth in five years?

is the increase in value linear or exponential?

  • exponential
  • linear

Explanation:

Analyze the rate of change

$$ \text{Rate of change} = \$2500 \text{ per year (constant additive increase)} $$

Classify the growth type

$$ \text{Constant absolute increase per unit time} \implies \text{Linear Growth} $$

Answer:

  • exponential
  • linear (Correct answer)