Let x = the length of the rectangle Let w= the width
Two sections are required, hence 2w of fence required 2x+3w=500
this can be written as: 3w=1500-2x w=(1500-2x)/3
Area=x*w replacing w with our expression: A=x(1500-2x)/3 A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area: Axis of symmetry: x=-b/2a From our equation we get: a=-2/3; b=1500/3 thus x=(1500/3)/(-(-2/3)) x=750 thus the maximum area will be given by length of 750
250 tagged 5500 total = 15 tagged x total x=330 fish were sampled.
Step-by-step explanation:
A biologist estimated that there were 5500 fish in a lake in which 250 fish had been tagged. A ranger collected a sample in which there were 15 tagged fish. Approximately how many fish were in the sample the ranger collected?
