Answer :
We analyze the matching definitions as follows:
1. For the definition:
[tex]$$4.\; \text{"A graph showing the likelihood of survival within a group or population by age"}$$[/tex]
we recognize that this refers to a survivorship curve. The corresponding definition on the right that best fits is:
[tex]$$19.\; \text{"The relative number of organisms of each age within a population"}.$$[/tex]
2. For the definition:
[tex]$$14.\; \text{"All of the population in a particular area"}$$[/tex]
this describes the complete set of organisms in an area, which is best defined by:
[tex]$$16.\; \text{"A biological community of interacting organisms and their physical environment"}.$$[/tex]
3. For the definition:
[tex]$$20.\; \text{"The pattern of population growth is one in which exponential growth is slowed and finally stopped by limiting factors"}$$[/tex]
this is a description of logistic growth. The limiting factor refers to the environment's capacity to support a population, matching the definition:
[tex]$$8.\; \text{"The largest population a given environment can support"}.$$[/tex]
Thus, the pairs matching the left definitions to the right definitions are:
[tex]$$\{4: 19,\quad 14: 16,\quad 20: 8\}.$$[/tex]
1. For the definition:
[tex]$$4.\; \text{"A graph showing the likelihood of survival within a group or population by age"}$$[/tex]
we recognize that this refers to a survivorship curve. The corresponding definition on the right that best fits is:
[tex]$$19.\; \text{"The relative number of organisms of each age within a population"}.$$[/tex]
2. For the definition:
[tex]$$14.\; \text{"All of the population in a particular area"}$$[/tex]
this describes the complete set of organisms in an area, which is best defined by:
[tex]$$16.\; \text{"A biological community of interacting organisms and their physical environment"}.$$[/tex]
3. For the definition:
[tex]$$20.\; \text{"The pattern of population growth is one in which exponential growth is slowed and finally stopped by limiting factors"}$$[/tex]
this is a description of logistic growth. The limiting factor refers to the environment's capacity to support a population, matching the definition:
[tex]$$8.\; \text{"The largest population a given environment can support"}.$$[/tex]
Thus, the pairs matching the left definitions to the right definitions are:
[tex]$$\{4: 19,\quad 14: 16,\quad 20: 8\}.$$[/tex]