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this graph shows the growth of a naked mole rat population over a 12-mo…

Question

this graph shows the growth of a naked mole rat population over a 12-month period.
naked mole rat population
select all the statements about this population that are supported by the graph.
more individuals joined the population than left the population.
the population grew by roughly the same number of individuals every three months.
population growth was positive.
more individuals emigrated than immigrated.

Explanation:

Step1: Analyze population trend

The graph shows population size (y - axis) over time (x - axis, months). At \(t = 0\), population is 24. At \(t=3\), it's 27 (increase of \(27 - 24=3\)). At \(t = 6\), it's 30 (increase of \(30 - 27 = 3\)). At \(t=9\), it's 33 (increase of \(33 - 30=3\)). At \(t = 12\), it's 36 (increase of \(36 - 33 = 3\)). So the population increases by 3 every 3 months.

Step2: Evaluate each statement

  • "More individuals joined the population than left the population": Since population is increasing, the net gain (join - leave) is positive, so more joined than left. Correct.
  • "The population grew by roughly the same number of individuals every three months": As calculated, each 3 - month period has an increase of 3. Correct.
  • "Population growth was positive": Population goes from 24 to 36, so growth is positive. Correct.
  • "More individuals emigrated than immigrated": Emigration (leave) and immigration (join). Since population is increasing, join>leave, so this is false. But the first three statements are supported. Wait, but the checkmarks in the original might be wrong, but based on graph:

Wait, let's re - check:

  1. More individuals joined than left: Population is increasing, so net migration (join - leave) + (birth - death) is positive. If we assume birth and death are part of it, but in terms of join (immigrate + birth) and leave (emigrate + death), since population is up, join>leave. Correct.
  1. Growth per 3 months: From 0 - 3: 27 - 24 = 3; 3 - 6: 30 - 27 = 3; 6 - 9: 33 - 30 = 3; 9 - 12: 36 - 33 = 3. So same number (3) every 3 months. Correct.
  1. Population growth positive: 36>24, so yes. Correct.
  1. More emigrated than immigrated: If emigrate>immigrate, but population is increasing, so (birth + immigrate)>(death + emigrate). If birth = death, then immigrate>emigrate. So this statement is false. But the first three are supported.

Answer:

The statements "More individuals joined the population than left the population", "The population grew by roughly the same number of individuals every three months", and "Population growth was positive" are supported by the graph. (If we consider the checkmarks in the original, but based on analysis, the fourth is wrong. But following the graph's data, the first three are correct.)