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5 November, 22:24

In 2004, the population of a country was 15,000. The population is expected to grow at a rate of 0.3% each year. Write an equation that models the population after t years.

Question 2 options:

A) p = 15,00 (1.003) t

B) p=1500 (.97) t

C) p=1500 (.3) t

D) p=1500 (.003) t

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Answers (2)
  1. 5 November, 22:31
    0
    A) p = 15,000 (1.003) ^t. (A is the closest but the first number should be 15,000 not 15,00)

    Step-by-step explanation:

    0.3 % = 0.3 / 100 = 0.003 as a decimal fraction.

    To work out the next years population we multiply the present year's by 1.003

    - then the next year's by 1.003 and so on.

    So the required equation is 15,000 (1.003) ^t.
  2. 5 November, 22:36
    0
    p=15,000 + (.003) t

    Step-by-step explanation:

    .3% converted to a decimal is. 003

    Let's say t=5. The equation is saying the population is 15,000 now. In 5 years, the population will be

    5 (years) *.003 (the yearly expansion rate). Plus the population now. So

    15,000 + (.003) t
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