Question

4)) this graph shows the growth of a naked mole rat population over a 12 - month period.
naked mole rat population
(graph: x - axis time elapsed (months) with marks 3, 6, 9, 12; y - axis population size with marks 21, 24, 27, 30, 33, 36, 39. data points at (0,24), (3,27), (6,30), (9,33), (12,36))
4)) select all the statements about this population that are supported by the graph.
4))

• the population grew by roughly the same number of individuals every three months.
• more individuals joined the population than left the population.
• population growth was positive.
• more individuals emigrated than immigrated.

Explanation:

1. "The population grew by roughly the same number of individuals every three months": Calculate the difference between consecutive time points. At 0 months: 24; 3 months: 27 (difference 3). 6 months: 30 (difference 3 from 3 months). 9 months: 33 (difference 3 from 6 months). 12 months: 36 (difference 3 from 9 months). So the growth per 3 months is approximately 3, consistent.
2. "More individuals joined the population than left the population": The population is increasing (from 24 to 36), so net gain (joins - leaves) is positive, meaning more joined than left.
3. "Population growth was positive": The population size increases over time (24 → 27 → 30 → 33 → 36), so growth is positive.
4. "More individuals emigrated than immigrated": Emigration is leaving, immigration is joining. Since population is increasing, (immigration + births) - (emigration + deaths) > 0. But if more emigrated than immigrated, net migration (immigration - emigration) would be negative, and for population to increase, births - deaths would need to be large enough to overcome this. However, the graph only shows total population, not migration components. The population growth here is linear (consistent 3 per 3 months), suggesting a constant net growth (likely from births > deaths or net migration positive). The statement "more emigrated than immigrated" would imply net migration negative, which contradicts the linear growth (unless births are very high, but the graph’s consistent growth per period suggests a constant net gain, which is more likely from net migration positive or equal birth - death. Thus, this statement is not supported.

Answer:

The statements supported by the graph are:

• The population grew by roughly the same number of individuals every three months.
• More individuals joined the population than left the population.
• Population growth was positive.