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Dafna1
2 months ago
14

After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year an

d an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the neawhole9 number.)​
Geography
1 answer:
gogolik [350]2 months ago
6 0

Answer:

y = 32,000 + 2560(x)

Explanation:

After maintaining a stable population of 32,000 for several years, an exponential growth of 8% from 32,000 occurs in the next year, raising the population to 34560.

To calculate this,

8% of 32000 = 8/100 ×  32000 = 2560

Now, adding this growth to the original population results in:

2560 + 32000 = 34, 560

The figure of 34560 represents the population after 1 year.

To predict the town's population over x years, expressed with y as the population, the following formula can be applied:

y = 32,000 + 2560(x)

Testing the equation with values of x = 4 years and 3 years yields:

y = 32,000 + 2560(4) = 32,000 + 10240 = 42240 people will reside in the town in four years

y = 32,000 + 2560(3) = 32,000 + 7680 = 39680 people will reside in the town in three years.

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