Suppose that a population of skunks lives on an isolated island if 500 skunks are present today and the birth rate is 65 per week and the death rate is 47 per week how many skunks do you predict will be on the island 105 days from now and what would a group of population versus time look like for this population
A: 230 Skunks; graph shows a Downward trend
B: 550 skunks graph shows a stable trend
C: 770 skunks graph shows an upward trend
D: 432 skunks graph shows a downward trend
population=500 + (65-47)*105/7=
To predict the number of skunks on the island 105 days from now, we first need to determine the net increase or decrease in the skunk population each week.
Net increase per week = Birth rate - Death rate
= 65 - 47
= 18
Next, we calculate the number of weeks in 105 days:
Number of weeks = 105 days / 7 days per week
= 15 weeks
Now, we can estimate the change in the skunk population after 15 weeks:
Change in population = Net increase per week * Number of weeks
= 18 * 15
= 270
To predict the future skunk population, we add the change to the current population:
Predicted population = Current population + Change in population
= 500 + 270
= 770
Therefore, the predicted number of skunks on the island 105 days from now is 770 skunks.
Based on the information given, the most appropriate answer is:
C: 770 skunks. The graph would show an upward trend since the population is expected to increase over time.