A random survey of 500 people in North Carolina showed that 80 had taken a trip to the Great Smokey Mountains National Park with
in a year or less. In a random survey of 200 North Carolinians, how many could be predicted to have taken a trip to the Great Smokey Mountains within a year or less? a. 16
b. 32
c. 48
d. 80
The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.
Using a t value of 10 years
Answer:
651558
Step-by-step explanation:
Given that:
Initial population, P0= 400,000
Growth rate, r = 5%
Using the relation :
P(t) = P0 * (1 + r)^t
t = number of years = 10
P(10) = 400000 * (1 + 0.05)^10
P(10) = 400000 * (1.05)^10
P(10) = 400000 * 1.628894626777
P(10) = 651557.8507
= 651558 nearest whole number.
Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.