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Sagot :
Answer:
88,529 people
Step-by-step explanation:
if the towns population is 100,000
%10 is 10,000
meaning %1 = 1,000
1,000 x 3 = 3,000
3,000 = %3
3,000 x 4 (because its 4 years)
= 12,000
100,000 - 12,000 = 88,000
rounding it to 88,529
The population of the town after 4 years will be 88,529 people. The correct option is A.
What is exponential growth or decay function?
Consider the function:
y= a(1 ± r)ˣ
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
- If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
- If there is a negative sign, then there is exponential decay happening by r fraction or 100r %
Given that the town's population is currently 100,000 people, which is declining at a rate of 3%. Therefore, the population of the town after a period of 4 years will be,
Population after 4 years = P (1 - r)ⁿ
= 100,000 × (1 - 0.03)⁴
= 88,529.281 ≈ 88,529 people
Hence, the population of the town after 4 years will be 88,529 people.
Learn more about Exponential Growth and Decay here:
https://brainly.com/question/2193820
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