Question

read the paragraph; then and choose the best answers.
palm tree paradise is a slum in nairobi. the slum is 50 square kilometers in size.
currently, 100,000 people live there. last year, 150,000 children were born and 80,000
people immigrated. 95,000 people died and 2,000 emigrated. it is believed that the
slum, with proper infrastructure, could support up to 500 people per square kilometer.
17)__the current population density is__.
a. 20 people/sq km c. 2,000 people/sq km
b. 200 people/sq km d. 20,000 people/sq km
18)__the current growth rate is__.
a. 0.13% c. 13%
b. 1.3% d. 133%
19)__the total carrying capacity of the slum is__.
a. 25,000 people c. 50,000 people
b. 250,000 people d. 500,000 people
study the graph; then choose the best answers.
rabbit population
20)__this graph shows a(n)__curve.
a. s c. i
b. j d. 5
21)____in which month did the rabbits experience exponential growth?
a. july c. june
b. august d. may
22)__the carrying capacity for rabbits is__.
a. 5 c. 100
b. 50 d. 150

Explanation:

Step1: Calculate population density

Population density formula: \( \text{Population Density}=\frac{\text{Population}}{\text{Area}} \). Given population \( = 100000 \), area \( = 50\space km^{2} \). So \( \text{Population Density}=\frac{100000}{50}=2000\space people/km^{2} \).

Step2: Calculate growth rate

Growth rate formula: \( \text{Growth Rate}=\frac{\text{Change in Population}}{\text{Initial Population}}\times100\% \). Change in population \(=(150000 + 80000-95000 - 2000)=133000\). Initial population \( = 100000 \). So \( \text{Growth Rate}=\frac{133000}{100000}\times100\% = 133\%\).

Step3: Calculate carrying capacity

Carrying capacity formula: \( \text{Carrying Capacity}=\text{Population Density (supportable)}\times\text{Area} \). Supportable population density \( = 500\space people/km^{2} \), area \( = 50\space km^{2} \). So \( \text{Carrying Capacity}=500\times50 = 250000\).

Step4: Identify curve type

The graph of rabbit population shows an S - shaped curve (logistic growth curve).

Step5: Identify exponential growth month

Exponential growth is the rapid increase phase. In the graph, June shows the rapid increase (exponential - like part of S - curve).

Step6: Identify carrying capacity

Carrying capacity is the maximum population size that an environment can sustain. In the graph, the population stabilizes at 150.

Answer:

1. C. 2,000 people/sq km
2. D. 133%
3. B. 250,000 people
4. A. S
5. C. June
6. D. 150