Answer:
There are 5193 species will be left
Step-by-step explanation:
* Lets explain how to solve the problem
- The number of species (n) that live in a region of some area (A), can
be found by using the logarithmic model n = k log A where k is
a constant
- If 5,800 species live in a rain forest that has an area of 750 square
kilometers
∴ n = 5800 species
∴ A = 750 km²
- Substitute the value of A and n in the equation to fined k
∵ A = 750 , n = 5800
∵ n = k log A
∴ 5800 = k log (750)
- Divide both sides by log (750)
∴ k = 5800 ÷ log (750)
∴ k = 2017.34
- Lets substitute the value of k in the equation
∴ n = 2017.34 log A
- The half of the rain forest is destroyed due to an amusement park
being built there
∴ The new area is 1/2 the old area
∵ The old area is 750
∴ The new area = 1/2 × 750 = 375 km²
- Lets substitute this value in the equation to find the number of
species will be left in the new area
∵ A = 375
∴ n = 2017.34 log (375) = 5192.696 ≅ 5193
∴ There are 5193 species will be left
