Problem solving:
Exponential function
A certain barangay in Pagadian City has a population of 10,000 that is increasing at the rate of
5% each year. Find the population of that barangay after 2 years.
helpppp po
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Problem solving:
Exponential function
A certain barangay in Pagadian City has a population of 10,000 that is increasing at the rate of
5% each year. Find the population of that barangay after 2 years.
helpppp po
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Verified answer
Answer:
Step-by-step explanation:
Let:
Po = original population
Pn = new population
P = change in population
r = rate of growth
t = time in years
Solution:
At two years, t = 2, the change in population P is
P = (Po)(r)(t)
P = (10,000)(0.05)(2) (Note: 5% = 0.05)
P = 1000
The new population after time t is given by the equation:
Pn = Po + P
Pn = 10,000 + 1,000
Pn = 11,000
Therefore, the population of the barangay in Pagadian City after 2 years will be 11,000