algebra

To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat(in acres)polled.

a. Write an equation using only one variable that could be used to solve for the constant of variation k.

k=d(deer)/a(acres)

b. A biologist counted the number of white tail deer in a 100 acre parcel of land in a nature preserve and found 12 deer. Find the constant of variation k.

k=12/100=.12 per acre

c. If the entire nature preserve is 2,500 acres, then what is the total white tail deer population in the preserve? Describe how you arrived.

.12=d/2,500
2,500(.12)=d
d=300
If the constant k is .12 deer per acre and we multiply it by 2,500 acres, then we can find the total popullation.

Are these correct? Thanks for the help.

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asked by Jack
  1. In the derivation of the equation perhaps starting with

    d = ka (d is number of deer, a is number of acres)

    then the given : 12 deer per 100 acres

    12 = k(100)
    k = .12

    so your equation would be

    d = .12a

    your arithmetic and your answer is fine

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    posted by Reiny

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