Question

Write an inequality to describe the maximum number of fish in the pond.

Answer 1

Answer:

Lets let x represent the total population of fish in the pond.

The ratio of tagged fish to the total fish population is therefore 24 : x

Assuming this ratio of "tagged to total" will be found for whatever number of fish get caught would mean that the ratio of "tagged to total" in the catch is the same as the ratio of "tagged to total" for the pond. We can solve this type of problem with a proportion:

Substituting in the numbers we get:

Solving proportions such as these involves cross-multiplication

3x = (19)(24) After dividing both sides by 3 to isolate x we see that

x = 152

Hope this helps,

Answer 2

Inequality to define the maximum number of fish in a lake:

• If p is the actual number of fish, write the number to describe the minimum number of fish in the pond.
• Total number of fish in the lake.
• You will do this by marking and releasing a certain number of fish, and then "scan" more.
• To change the number of fish you can mark or catch, drag the slide, or click the number in the text area next to the slide, type a new value, and press Enter.
• Suppose a scientist marks 100 fish and then releases (Set 100 fish in a pond to illustrate this.).
• Later, a fisherman catches up to 50 fish in a single pond. (Set fish to catch 50 to show this.)